{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 第五回：样式色彩秀芳华"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "第五回详细介绍matplotlib中样式和颜色的使用，绘图样式和颜色是丰富可视化图表的重要手段，因此熟练掌握本章可以让可视化图表变得更美观，突出重点和凸显艺术性。  \n",
    "关于绘图样式，常见的有4种方法，分别是修改预定义样式，自定义样式，rcparams和matplotlibrc文件。  \n",
    "关于颜色使用，本章介绍了常见的5种表示单色颜色的基本方法，以及colormap多色显示的方法。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 一、matplotlib的绘图样式（style）"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在matplotlib中，要想设置绘制样式，最简单的方法是在绘制元素时单独设置样式。\n",
    "但是有时候，当用户在做专题报告时，往往会希望保持整体风格的统一而不用对每张图一张张修改，因此matplotlib库还提供了四种批量修改全局样式的方式"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.matplotlib预先定义样式"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "matplotlib贴心地提供了许多内置的样式供用户使用，使用方法很简单，只需在python脚本的最开始输入想使用style的名称即可调用，尝试调用不同内置样式，比较区别"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1ee975b79d0>]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.style.use('default')\n",
    "plt.plot([1,2,3,4],[2,3,4,5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1ee977e4f10>]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.style.use('ggplot')\n",
    "plt.plot([1,2,3,4],[2,3,4,5])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "那么matplotlib究竟内置了那些样式供使用呢？总共以下26种丰富的样式可供选择。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['Solarize_Light2', '_classic_test_patch', 'bmh', 'classic', 'dark_background', 'fast', 'fivethirtyeight', 'ggplot', 'grayscale', 'seaborn', 'seaborn-bright', 'seaborn-colorblind', 'seaborn-dark', 'seaborn-dark-palette', 'seaborn-darkgrid', 'seaborn-deep', 'seaborn-muted', 'seaborn-notebook', 'seaborn-paper', 'seaborn-pastel', 'seaborn-poster', 'seaborn-talk', 'seaborn-ticks', 'seaborn-white', 'seaborn-whitegrid', 'tableau-colorblind10']\n"
     ]
    }
   ],
   "source": [
    "print(plt.style.available)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.用户自定义stylesheet"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在任意路径下创建一个后缀名为mplstyle的样式清单，编辑文件添加以下样式内容  \n",
    "\n",
    "> axes.titlesize : 24     \n",
    "axes.labelsize : 20   \n",
    "lines.linewidth : 3   \n",
    "lines.markersize : 10   \n",
    "xtick.labelsize : 16   \n",
    "ytick.labelsize : 16  \n",
    "\n",
    "引用自定义stylesheet后观察图表变化。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1ee97651b80>]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.style.use('file/presentation.mplstyle')\n",
    "plt.plot([1,2,3,4],[2,3,4,5])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "值得特别注意的是，matplotlib支持混合样式的引用，只需在引用时输入一个样式列表，若是几个样式中涉及到同一个参数，右边的样式表会覆盖左边的值。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1ee976b3b80>]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.style.use(['dark_background', 'file/presentation.mplstyle'])\n",
    "plt.plot([1,2,3,4],[2,3,4,5])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.设置rcparams"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们还可以通过修改默认rc设置的方式改变样式，所有rc设置都保存在一个叫做 matplotlib.rcParams的变量中。  \n",
    "修改过后再绘图，可以看到绘图样式发生了变化。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1ee978b1b50>]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.style.use('default') # 恢复到默认样式\n",
    "plt.plot([1,2,3,4],[2,3,4,5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1ee9797bee0>]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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VlpRp6tId+s/2XAX4WxQfE6742HCzy0IjwZwRAEC9+vpogUa8tEH/ubBwWZnT0Gf7T5hcFRoTekYAAPXCMAy9ufGQ/rZyt0qdLklSaLBV/zOyn+7oG21ydWhMCCMAgDpXcL5MU97brtU789xt8TE2zR6dqNhWzUysDI0RYQQAUKe25pzV+EVZOnLmvLvt14M6a8rPeijQyuwA/BRhBABQZ5wuQ5Pf3eYOIraQAE2/P1639YoyuTI0ZkRUAECd8fezaMYv+yvQ30+JHcK1cuIggggui54RAMAVcbkM+flZ3M/7tLdp8W+vVb+YcAX485sXl8dZAgCoFZfL0LyMbzXqlU0qu3C1zEUDOrYiiKDGOFMAAB47XVSqR9/YrOc/3KMvD57WP9fsM7skeDGGaQAAHvnq4GlNXJytPHuJJMlikQL8LTIMQxaL5TJ7Az9FGAEA1IjLZeh/07/Ri2v3yWVUtEU0D9SMB/trcPc25hYHr0YYAQBc1olCh1Le2arP9p90tyV1idDMB/srMizYxMrQFBBGAACX9MU3JzXp7a06UeiQVDEsM2lId024tbv8/RiWwZUjjAAALmnt7uPuINImNEgzH+yv67u2NrkqNCWEEQDAJT11Rw9lfndG4c0C9OID/dUmNMjsktDEEEYAAJWcKHRUChxBVn+98eg1Cg8JqLS4GVBXWGcEACBJKne6NP2jvbrpH+u0N6+w0mutmgcSRFBvCCMAAOUWnNfoV77U7HXfqLjUqeRFWTpf6jS7LPgIhmkAwMet25OvlHe26kxxmaSKm93dPyBGQVZ+r6JhEEYAwEeVXRiWeXn9AXdbO1uwXhqdqAEdW5pYGXwNYQQAfNDRs+c1YVGWsg6fdbcN7Rml6ff3U3izQPMKg08ijACAj0nfm69JS7aq4HzFsEyAv0VTftZDvx7UmXvLwBSEEQDwMc2DrDrnKJckxbQM0ezRieofG25uUfBphBEA8DFXd2qllNuu0o4jBXrhF/1kCwkwuyT4OMIIADRxG789pWs7t6q0TsjjN3WVxSKGZdAocN0WADRRjnKnnvnga416ZZPmZnxb6TU/PwtBBI0GYQQAmqDvThZp5Nwv9MbGQ5Kkf67Zq/3HCy+zF2AOhmkAoIlZse2Ypi7d4Z6kGmj10zMjeqlbZAuTKwOqRhgBgCaipMyp//7PLi368rC7rUvr5po9OlG92oWZWBlwaYQRAGgCvj1xTslvZWnPD25w9/OE9vrrvX3UPIj/6tG4cYYCgJfL/O60Hn7tKxVfuLFdcICf/vvuPrp/YAyTVOEVCCMA4OV6tQtT+/AQ7c8/p+6RLTRnTKKuigo1uyygxq7oaprU1FRZLBY98cQTl9wuIyNDAwYMUHBwsLp06aJ58+ZdydsCAH6gWaBVc8YkavS1HfTB+BsIIvA6tQ4jmzdv1vz589WvX79Lbnfw4EENHz5cgwcPVnZ2tqZNm6aJEycqLS2ttm8NAD7LMAy9t+WIvjtZVKn9qqhQ/f3nfdUskA5veJ9ahZFz585pzJgxeuWVV9Sy5aVvMz1v3jx16NBBM2bMUM+ePfXYY4/p0Ucf1fTp02tVMAD4qiJHuf7wzjZNfnebxi/OkqPcaXZJQJ2oVRhJTk7WnXfeqaFDh152240bN2rYsGGV2m6//XZlZmaqrKysyn0cDofsdnulBwD4st25do2YvUFLs49Kkr4+ateancdNrgqoGx735y1ZskRbtmxRZmZmjbbPy8tTVFRUpbaoqCiVl5fr5MmTio6O/sk+qampevbZZz0tDQCaHMMwtPirHD27Yqcc5S5JUvNAf/39vr4aEd/O5OqAuuFRGMnJydGkSZO0Zs0aBQcH13i/H19aZhhGle0XTZ06VSkpKe7ndrtdsbGxnpQKAF6vsKRM05Z9rRXbjrnbekWHac6YRHVu3dzEyoC65VEY2bJli/Lz8zVgwAB3m9Pp1Pr16zV79mw5HA75+/tX2qdt27bKy8ur1Jafny+r1aqIiIgq3ycoKEhBQUGelAYATcrXRws0flGWvjtV7G57OKmjpg3vqeAA/0vsCXgfj8LIkCFDtGPHjkptjzzyiHr06KEpU6b8JIhIUlJSklasWFGpbc2aNRo4cKACAgJqUTIANG3H7SUaOfcL97BMaJBVL/yin4b3/emwNtAUeDSBNTQ0VH369Kn0aN68uSIiItSnTx9JFUMsDz/8sHufcePG6dChQ0pJSdHu3bv12muvacGCBZo8eXLdfhIAaCKiwoL16KDOkqR+MTatnDiYIIImrc4vSM/NzdXhw9/fpKlz585atWqVnnzySc2ZM0ft2rXTrFmzNHLkyLp+awBoMv5w21Vq0yJI/++6jgq0XtH6lECjZzEuziZtxOx2u2w2mwoKChQWxp0nATQdhmHo9c+/U4DVTw9d19HscoA6VdPvb5bqAwCTnC0u1R/f2661u44r0N9P/WPC1TfGZnZZQIOj7w8ATJB1+IzunLVBa3dVLFxW6nRp44GTJlcFmIOeEQBoQC6XoVc3HND/rN6rclfFKHnLZgH65wPxurVH1GX2BpomwggANJDTRaWa/O42fbon3912daeWmjUqQdG2EBMrA8xFGAGABrD5u9OasChbefYSd9vvb+6qlNuuktWfEXP4NsIIANSzcqdLU97b7g4iEc0D9eIv++umq9qYXBnQOBDHAaCeWf39NOPB/grwt+i6Lq20atJgggjwA/SMAEA9cLoM+ft9fzPQfjHhevt3SYqPCa/UDoCeEQCoU06XoZkf79eYVzep3Omq9Fpih5YEEaAKhBEAqCP5hSV6aMGX+tfH+7TpwGnN+Hi/2SUBXoFhGgCoAxv2n9QTb2fr5LlSSZKfRQoJ/OmdzAH8FGEEAK5AudOlmZ/s1+x13+jinb6iwoI068EEXdslwtziAC9BGAGAWsorKNHEJdn66uBpd9tNV7XRiw/EK6JFkImVAd6FMAIAtZC+N18p72zT6aKKYRl/P4smD4vT727sIj8mqQIeIYwAQC2s25PvDiLtbMF6aXSCBnRsZXJVgHcijABALUwd3lOZh84o2hasf/wiXi2bB5pdEuC1CCMAUAP59hJFhgW7nwcH+Outx66VLSRAFgvDMsCVYJ0RALiE0nKX/vqfXbp5err2Hy+s9Fp4s0CCCFAHCCMAUI2c08W6/+WNenXDQRWXOpW8KEslZU6zywKaHIZpAKAKq7/O0x/f26bCknJJUqC/n8Zc21FBVn7DAXWNMAIAP+Aodyp11R793xffuds6RjTT7FGJ6htjM68woAkjjADABYdOFWn8omztOFrgbruzX7RS7+ursOAAEysDmjbCCABIWrvruFLe3qpCx4VhGauf/nxXL425tgOTVIF6RhgBAElhwVYVlVYEkS6tm2v26ET1ahdmclWAbyCMAICka7tE6MmhV+nbE+f015/3VYsg/nsEGgr/2gD4pA37T+r6rhGV7iMz/tZuksSwDNDAuEYNgE85X+rUlPe26/8t+FLzPztQ6TWLxUIQAUxAGAHgM/YfL9Q9czbo7cwcSdI/PtqrgyeLTK4KAMM0AHzCu5k5+vMHO3X+wgqqIQH++uu9fdS5dXOTKwNAGAHQpBU5yvVfH3ytpVlH3W1xUaGaMyZR3SJbmFgZgIsIIwCarD15diW/laVvT3w/FDPqmlg9M6K3ggP8TawMwA8RRgA0SRu/PaVfvf6VHOUuSVLzQH/9/b6+uqd/e5MrA/BjhBEATVK/GJtiWobo2xNF6hUdpjljEpkfAjRShBEATVLzIKvmjEnUkq9y9NQdPRiWARoxLu0F4PUMw9BbXx5SzuniSu092obpL3czPwRo7OgZAeDV7CVleiptu1btyFN8jE3vjrtegVZ+ZwHehH+xALzW9iNnddesDVq1I0+StO1IgdbtzTe5KgCeomcEgNcxDEOvf/6dUj/crTKnIanirrv/uD9et/dua3J1ADxFGAHgVQqKy/TH97Zpza7j7rb+seGaPTpBMS2bmVgZgNoijADwGlmHz2jComwdPXve3fbbG7voj7fHKcCfUWfAWxFGAHiFI2eK9cuXN7qHZcKbBejFB+J1a48okysDcKX4KQHAK8S0bKZHbugsSRrYsaVWTRxMEAGaCHpGAHiNP94ep5iWIRp9TQdZGZYBmgz+NQNodFwuQ/+b/o3e+vJQpfYAfz89nNSJIAI0MfSMAGhUTp5zKOWdbVq/74QCrX7qHxuu3u1sZpcFoB559PNi7ty56tevn8LCwhQWFqakpCR9+OGH1W6fnp4ui8Xyk8eePXuuuHAATc+mA6c0fOZnWr/vhCSpzOnSlkNnTK4KQH3zqGckJiZGzz//vLp16yZJeuONN3TPPfcoOztbvXv3rna/vXv3KiwszP28TZs2tSwXQFPkdBma/ek3mvnJPrkqLpZR6xZBmvlgf93QrbW5xQGodx6FkREjRlR6/re//U1z587Vpk2bLhlGIiMjFR4eXqsCATRt+YUlevLtrfr8m1Puthu6Rehfv+yvyNBgEysD0FBqPWfE6XTq3XffVVFRkZKSki65bUJCgkpKStSrVy89/fTTuuWWWy65vcPhkMPhcD+32+21LRNAI7Zh/0k98fZWnTxX8e/dzyI9OfQq/f6WbvL3s5hcHYCG4nEY2bFjh5KSklRSUqIWLVpo2bJl6tWrV5XbRkdHa/78+RowYIAcDof+/e9/a8iQIUpPT9eNN95Y7Xukpqbq2Wef9bQ0AF6ktNylqcu2u4NIVFiQZj6YoOu6RJhcGYCGZjEMw/Bkh9LSUh0+fFhnz55VWlqaXn31VWVkZFQbSH5sxIgRslgsWr58ebXbVNUzEhsbq4KCgkpzTwB4t+zDZ3T/vI26oVtrvfhAvCJaBJldEoA6ZLfbZbPZLvv97XEY+bGhQ4eqa9euevnll2u0/d/+9jctXLhQu3fvrvF71PTDAGjcyp2un6wRsjXnrPq1t8mPYRmgyanp9/cVrxxkGEalXozLyc7OVnR09JW+LQAvUu506YXVe/TQgq/kdFX+/dM/NpwgAvg4j+aMTJs2TXfccYdiY2NVWFioJUuWKD09XatXr5YkTZ06VUePHtWbb74pSZoxY4Y6deqk3r17q7S0VAsXLlRaWprS0tLq/pMAaJSOnT2viYuzlXlhvZCZn+xXym1XmVwVgMbEozBy/PhxPfTQQ8rNzZXNZlO/fv20evVq3XbbbZKk3NxcHT582L19aWmpJk+erKNHjyokJES9e/fWypUrNXz48Lr9FAAapU92H9cf3t2ms8VlkiSrn0VhwSz8DKCyK54z0hCYMwJ4l9Jyl/5n9R69uuGgu619eIhmj05QQoeWJlYGoCHV9PubnygA6lTO6WJNWJytrTln3W3DekXpH7+Il61ZgHmFAWi0CCMA6sxHO/P0x3e3yV5SLkkK8Ldo2vCe+tX1nWSxMEkVQNUIIwDqTMa+E+4g0qFVM80enaB+MeHmFgWg0SOMAKgzf76rl7IOnVHXNi2UOrKvwoIZlgFweYQRALWWW3Be0bYQ9/PgAH+9/dskhYVYGZYBUGNXvOgZAN9TUubU0+/v0JB/Zuib/HOVXrM1CyCIAPAIYQSARw6cOKef/+8XWrjpsIpLnRq/KEuOcqfZZQHwYgzTAKixD7Ye1bSlO1RUWhE+gqx++tX1nRToz+8aALVHGAFwWedLnXp2xU4t2ZzjbuvaprnmjElUj7YsRAjgyhBGAFzSN/mFSn4rW3uPF7rbRibG6Ll7e6tZIP+FALhy/E8CoFr/2X5Mf3x3u86XVQzLhAT467l7++gXA2JMrgxAU0IYAVCtVs0CVXJhcmpcVKhmj05Q96hQk6sC0NQQRgBU6/purTXx1u46bi/RMyN6KyTQ3+ySADRBhBEAkiTDMJS+74RuvqpNpXVCnhjanXVDANQrrscDoHOOcj359lY98vpmvfrZwUqvEUQA1DfCCODjdh4r0N0vbdD7W49Jkl5YvUc5p4tNrgqAL2GYBvBRhmFo4ZeH9dx/dqm03CVJahFk1fMj+yq2VTOTqwPgSwgjgA+yl5Rp6tIdWrk9193Wt71Ns0cnqGNEcxMrA+CLCCOAj9lxpEDJi7J0+AdDMb+6vpOmDu+hICtXywBoeIQRwIes33dCj72RqVJnxbBMWLBV//OLeP2sT1uTKwPgywgjgA9J7NhS7VuG6ODJIsXHhmv2qATmhwAwHWEE8CEtgqyaPTpBy7ce0x+GxSnQygV1AMxHGAGaKMMw9H9ffKfbekUppuX3vR+929nUu53NxMoAoDJ+FgFN0JmiUj32RqaeXbFLExZnq+zCHBEAaIwII0ATs+XQad056zN9sidfkpR9+Kw2fHPS5KoAoHoM0wBNhMtl6OX1BzR9zV45XYYkqVXzQL34QLxujos0uToAqB5hBGgCTp1zKOWdbcrYd8Lddk3nVpr1YILa2oJNrAwALo8wAni5Lw+c0sQl2Tpud0iSLBZpwi3dNHFId1n9GYkF0PgRRgAvduhUkUa/+qV7WKZ1iyDN+GV/Dere2uTKAKDm+NkEeLGOEc31q+s7SZKu7xqhVZMGEUQAeB16RgAvN+VnPdS1TQv98upY+ftZzC4HADxGzwjgJZwuQy+u3aclXx2u1B5o9dPoazsQRAB4LXpGAC9w3F6iiYuz9eXB0wqy+ik+Nlw9o8PMLgsA6gQ9I0Ajl7HvhIbP/ExfHjwtSSp3Gdp+5Ky5RQFAHaJnBGikyp0u/XPtPs1N/9bdFm0L1qxRCbq6UysTKwOAukUYARqhY2fPa+LibGUeOuNuu7VHpKbfH69WzQNNrAwA6h5hBGhkPt1zXCnvbNPZ4jJJktXPoj/9LE6PDeoiPyapAmiCCCNAI1JS5tR/vb/THUTah4fopdEJSuzQ0uTKAKD+MIEVaESCA/w1a1R/+ftZdFuvKK2aOJggAqDJo2cEMFmZ06WAH9xDZkDHVnr/9zeoT/swWSwMywBo+ugZAUziKHfq2RU79cjrm933lrmob4yNIALAZ9AzApjg8KliJS/K0o6jBZKkOeu+0cQh3U2uCgDMQRgBGtiqHbma8t52FTrKJVUs587lugB8GWEEaCAlZU79beVu/XvTIXdb59bNNXt0gnq3s5lYGQCYizACNICDJ4uU/FaWduXa3W13x7fT3+/rqxZB/DME4Ns8msA6d+5c9evXT2FhYQoLC1NSUpI+/PDDS+6TkZGhAQMGKDg4WF26dNG8efOuqGDA23yw9ajumvWZO4gEWf30/H19NfPB/gQRAJCHYSQmJkbPP/+8MjMzlZmZqVtvvVX33HOPdu7cWeX2Bw8e1PDhwzV48GBlZ2dr2rRpmjhxotLS0uqkeMAbbPz2lIpKnZKkrm2a64PxN+jBazpwtQwAXGAxDMO4/GbVa9Wqlf7xj3/o17/+9U9emzJlipYvX67du3e728aNG6dt27Zp48aNNX4Pu90um82mgoIChYVx23R4l/OlTt0753P1bh+m5+7po+b0hgDwETX9/q71/4pOp1PvvvuuioqKlJSUVOU2Gzdu1LBhwyq13X777VqwYIHKysoUEBBQ5X4Oh0MOh8P93G63V7kd0BgdOVOsmJbN3M9DAv317uNJCguu+nwHAF/n8aJnO3bsUIsWLRQUFKRx48Zp2bJl6tWrV5Xb5uXlKSoqqlJbVFSUysvLdfLkyWrfIzU1VTabzf2IjY31tEygwRWXlmvyu9t0+7/W6+DJokqvEUQAoHoeh5G4uDht3bpVmzZt0uOPP66xY8dq165d1W7/43Hxi6NClxovnzp1qgoKCtyPnJwcT8sEGtTevELdPftzvbfliIpKnUp+K0tlTpfZZQGAV/B4mCYwMFDdunWTJA0cOFCbN2/WzJkz9fLLL/9k27Zt2yovL69SW35+vqxWqyIiIqp9j6CgIAUFBXlaGtDgDMPQO5k5emb5TpWUVYSPZoH++u2NXSrdbwYAUL0rnklnGEal+R0/lJSUpBUrVlRqW7NmjQYOHFjtfBHAW5xzlOvpZTv0/tZj7rae0WGaMzpBXdq0MLEyAPAuHoWRadOm6Y477lBsbKwKCwu1ZMkSpaena/Xq1ZIqhleOHj2qN998U1LFlTOzZ89WSkqKfvOb32jjxo1asGCBFi9eXPefBGhAu47ZNX5Rlg78YG7ImGs76L/u6qXgAH8TKwMA7+NRGDl+/Lgeeugh5ebmymazqV+/flq9erVuu+02SVJubq4OHz7s3r5z585atWqVnnzySc2ZM0ft2rXTrFmzNHLkyLr9FEADSttyRFOX7VBpecWwTIsgq54f2Vd39WtncmUA4J2ueJ2RhsA6I2hMPtt/Qg+/9pUMQ+rTPkxzRieqY0Rzs8sCgEan3tcZAXzV4O5tNP6WbiosKdfU4T0UZGVYBgCuBGEEuATDMPTx7nwN7RlZ6XL0lNuuYjl3AKgjXHsIVKOguEzjFm7Rb97M1Guff1fpNYIIANQdwghQhezDZ3TnS5/po53HJUkvfLhHuQXnTa4KAJomhmmAHzAMQws2HNTzH+5RuatibrctJED/vD9e0bYQk6sDgKaJMAJccKaoVJPf3aZP9uS72xI7hOul0YlqH04QAYD6QhgBJG05dFoTFmXrWEGJu23cTV31h2FXsaw7ANQzwgh83se7jut3C7fIeWFYplXzQP3zgXjdEhdpcmUA4BsII/B513ZppZiWITp0qljXdGqlWaMS1NYWbHZZAOAzCCPweaHBAZo9KlFrd+Vp4pDusjIsAwANiv914VOcLkNz07/V0bOVL9PtG2NTyrA4gggAmID/eeEzThQ69PBrX+qF1Xs0cXG2ypwus0sCAIgwAh/xxTcndcfMz/T5N6ckVSxq9tXB0yZXBQCQmDOCJs7pMjTzk/166dP9unh/6jahQZr1YIKSukaYWxwAQBJhBE3YcXuJJi3J1qYD3/eADO7eWv/6ZX+1bhFkYmUAgB8ijKBJWr/vhJ58e6tOFZVKkvz9LEq57So9flNX+flxkzsAaEwII2hyvskv1NjXv3IPy7QNC9ZLoxN0dadW5hYGAKgSE1jR5HSLDNXYpE6SpFvi2mjVpMEEEQBoxOgZQZM0dXgP9WoXpl8kxjAsAwCNHD0j8GplTpf+vmq33tmcU6k9yOqvBwbGEkQAwAvQMwKvdeRMsSYszlb24bMKDvBT/w7huioq1OyyAAAeomcEXmnNzjwNn/mZsg+flVSxnsjOYwXmFgUAqBV6RuBVSstdSv1wt17//Dt3W2yrEM0elaj42HDT6gIA1B5hBF7j8KlijV+cpe1Hvu8BuaNPWz0/sp9sIQEmVgYAuBKEEXiFD3fk6k/vbVeho1ySFOjvp6fv6qmHrusoi4VJqgDgzQgjaPTOlzr13//Z5Q4inSKaafboRPVpbzO5MgBAXWACKxq9kEB/zXwwQf5+Fo2Ib6cVEwYRRACgCaFnBI2So9ypIKu/+/k1nVtp+fgb1Cs6jGEZAGhi6BlBo1JS5tTUpdv12BuZcrmMSq/1bmcjiABAE0TPCBqNb/LPafyiLO3JK5Qkzc34Vsm3dDO5KgBAfSOMoFFI23JET7//tc6XOSVJwQF+igwNMrkqAEBDIIzAVMWl5frzBzv13pYj7rbukS00Z0wiS7sDgI8gjMA0+44XKvmtLO3PP+due2BgjJ69u49CAv0vsScAoCkhjMAUb28+rGeW71RJmUuS1CzQX3+9t4/uS4wxuTIAQEMjjMAUmd+dcQeRHm1DNXt0orpFtjC5KgCAGQgjMMWz9/TW1pyzurpzK/35rl4KDmBYBgB8FWEE9c4wDOWcPq8OEc3cbc0CrVqWfINaBHEKAoCvY9Ez1KvCkjKNX5yt4bM+06FTRZVeI4gAACTCCOrR10cLdNdLG7Rye67OOco1flG2nD9aVRUAAH6aos4ZhqE3Nx7S31buVqmzYpJqaLBVv7+5q/z9WM4dAFAZYQR1quB8maa8t12rd+a52+JjbHppVGKlOSMAAFxEGEGd2ZpzVuMXZenImfPutkdv6Kyn7uihQCsjggCAqhFGUCcWfXlYf/7ga5VfmBNiCwnQ9PvjdVuvKJMrAwA0doQR1Il24cHuIJLYIVyzRiUopiXDMgCAyyOMoE7cHBep39/cVU7D0ORhcQrwZ1gGAFAzHn1jpKam6uqrr1ZoaKgiIyN17733au/evZfcJz09XRaL5SePPXv2XFHhMI/LZWj117kyjMqX6f7x9jhNvaMnQQQA4BGPvjUyMjKUnJysTZs2ae3atSovL9ewYcNUVFR02X337t2r3Nxc96N79+61LhrmOXXOoUff2KxxC7P05sZDlV6zWLhsFwDgOY+GaVavXl3p+euvv67IyEht2bJFN9544yX3jYyMVHh4uMcFovH48sApTVySreN2hyTp76t2a3jfaLUJDTK5MgCAN7ui/vSCggJJUqtWrS67bUJCgqKjozVkyBCtW7fukts6HA7Z7fZKD5jH5TI0+9P9GvXKJncQad0iUK+OHUgQAQBcsVqHEcMwlJKSokGDBqlPnz7VbhcdHa358+crLS1NS5cuVVxcnIYMGaL169dXu09qaqpsNpv7ERsbW9sycYVOFDo09vWvNH3NPl1cyT2pS4RWTRyswd3bmFscAKBJsBg/noVYQ8nJyVq5cqU2bNigmJgYj/YdMWKELBaLli9fXuXrDodDDofD/dxutys2NlYFBQUKCwurTbmohS++OalJb2/VicKKvwuLRZo0pLsm3NqdZd0BAJdlt9tls9ku+/1dq0t7J0yYoOXLl2v9+vUeBxFJuu6667Rw4cJqXw8KClJQEN3/Zlq1I1fJi7J0Maq2CQ3SzAf76/qurc0tDADQ5HgURgzD0IQJE7Rs2TKlp6erc+fOtXrT7OxsRUdH12pfNIxB3VsrpmWIck6f1+DurfXiA/2ZHwIAqBcehZHk5GQtWrRIH3zwgUJDQ5WXV3EzNJvNppCQEEnS1KlTdfToUb355puSpBkzZqhTp07q3bu3SktLtXDhQqWlpSktLa2OPwrqUlhwgGaPStSGb07q8Zu6yo9hGQBAPfEojMydO1eSdPPNN1dqf/311/WrX/1KkpSbm6vDhw+7XystLdXkyZN19OhRhYSEqHfv3lq5cqWGDx9+ZZWjzpQ7Xfrf9G/1wMBYtbUFu9vjY8MVHxtuXmEAAJ9Q6wmsDammE2DgudyC85q4OFubvzujazq10qLfXCsrK6gCAOpATb+/+dbxYev25Gv4zM+0+bszkqSsw2eUdfisuUUBAHwON8rzQWVOl6Z/tFcvrz/gbmsfHqJZoxI0oGNLEysDAPgiwoiPOXKmWBMWZyv7Bz0gQ3tGafr9/RTeLNC8wgAAPosw4kPW7MzTH9/broLzZZKkAH+Lnrqjpx69oRM3uQMAmIYw4iN259r1239vcT+PaRmiOaMTuVoGAGA6JrD6iJ7RYXo4qaMk6We922rlxMEEEQBAo0DPiA+ZNrynEjqE697+7RmWAQA0GvSMNEElZU79+YOv9d6WI5XagwP89fOEGIIIAKBRoWekiTl4skjjF2Vp5zG7QgKOKD7Gpu5RoWaXBQBAtegZaUKWbzumES9t0M5jdkmSyzC0P/+cyVUBAHBp9Iw0ASVlTj27YpcWf/X9PYG6tGmuOaMT1TOa5fMBAI0bYcTLfZN/TuMXZWlPXqG77b6E9nru3j5qHsRfLwCg8ePbyostzTqip9//WsWlTklScICf/vuePrp/AJNUAQDegzDipc45yvXC6j3uINI9soXmjEnUVUxWBQB4GSaweqkWQVbNfDBBfhbpgYExWj5+EEEEAOCV6BnxEoZhyFHuUnCAv7vtui4RWjVpsHq0ZZIqAMB70TPiBYoc5Up5Z5vGLdwil8uo9BpBBADg7egZaeR259qV/FaWDpwskiTN/+yAxt3U1eSqAACoO4SRRsowDC366rCeXbFLpeUuSRXzRNqHh5hcGQAAdYsw0ggVlpRp6tId+s/2XHdb73ZhmjM6UZ1aNzexMgAA6h5hpJH5+miBkhdl6dCpYnfb2KSOmjq8Z6XJqwAANBWEkUbCMAy9ufGQ/rZyt0qdFcMyocFW/c/Ifrqjb7TJ1QEAUH8II43Itpyz7iASH2PTS6MS1SGimclVAQBQvwgjjYTFYtFz9/bRtiNnddNVkXrqjh4KtHLlNQCg6SOMmMQwDH13qlidfzAhtXmQVSsmDFKzQP5aAAC+g5/eJjhbXKrfvLlFd8/eoJzTxZVeI4gAAHwNYaSBbTl0RsNnfqaPdx9XYUm5JizO/smqqgAA+BJ+hjcQl8vQ/M8O6B8f7ZXzQvho2SxAk4Z0l5+fxeTqAAAwD2GkAZwuKlXKO1uVvveEu+3qTi01a1SCom2sqAoA8G2EkXr21cHTmrg4W3n2EkmSxSIl39xNTwztLqs/o2QAABBG6tHrnx/Uc//ZpYtTQlq3CNS/ftlfg7u3MbcwAAAaEcJIPeoY0cwdRJK6RGjmg/0VGRZsblEAADQyhJF6dGuPKI27qauCA/w04dbu8meiKgAAP0EYqSNOl6EPv87VnX2jZbF8HzqeuqOHiVUBAND4EUbqQL69RJOWbNXGA6d05t4yPXRdR7NLAgDAa3A5xxX6bP8JDZ/1mTYeOCVJ+vvK3TpdVGpyVQAAeA96Rmqp3OnSjI/3a076NzIuTFJtGxasWaMS1Kp5oLnFAQDgRQgjtZBbcF6TFm/VV9+ddrfdHNdGLz7QnyACAICHCCMeWrcnXynvbNWZ4jJJkr+fRX+6PU6/GdyFZd0BAKgFwogHlmUf0ZNvb3M/b2cL1kujEzWgY0sTqwIAwLsRRjxwa1yU2oeH6OjZ8xraM0rT7++n8GYMywAAcCUIIx6wNQvQ7NEJ2nLojH49qHOl9UQAAEDtcGlvNUrLXZr+0V4dv3CDu4sSOrTUY4O7EEQAAKgj9IxUIed0scYvytK2IwXKPHRabz12HUu5AwBQT+gZ+ZHVX+dq+KzPtO1IgSQp69BZbT9y1tyiAABowjwKI6mpqbr66qsVGhqqyMhI3Xvvvdq7d+9l98vIyNCAAQMUHBysLl26aN68ebUuuL44yp165oOvNW5hlgpLyiVV3HV36e+vV0IHrpYBAKC+eBRGMjIylJycrE2bNmnt2rUqLy/XsGHDVFRUVO0+Bw8e1PDhwzV48GBlZ2dr2rRpmjhxotLS0q64+Lry3ckijZz7hd7YeMjddle/aP1nwiD1aW8zsTIAAJo+i2FcXMzccydOnFBkZKQyMjJ04403VrnNlClTtHz5cu3evdvdNm7cOG3btk0bN26s0fvY7XbZbDYVFBQoLCystuVWacW2Y5q6dIfOOSp6QwKtfvrLiN4adU0sk1QBALgCNf3+vqIJrAUFFfMqWrVqVe02Gzdu1LBhwyq13X777VqwYIHKysoUEBDwk30cDoccDof7ud1uv5Iyq7X9yFlNWJztft6ldXPNGZOontF1G3gAAED1aj2B1TAMpaSkaNCgQerTp0+12+Xl5SkqKqpSW1RUlMrLy3Xy5Mkq90lNTZXNZnM/YmNja1vmJfWLCdfoaztIkn6e0F4rJgwiiAAA0MBq3TMyfvx4bd++XRs2bLjstj8e7rg4MlTdMMjUqVOVkpLifm632+stkPz5rl66oWtrDe/blmEZAABMUKswMmHCBC1fvlzr169XTEzMJbdt27at8vLyKrXl5+fLarUqIiKiyn2CgoIUFBRUm9I8Fhzgrzv7RTfIewEAgJ/yaJjGMAyNHz9eS5cu1aeffqrOnTtfdp+kpCStXbu2UtuaNWs0cODAKueLAAAA3+JRGElOTtbChQu1aNEihYaGKi8vT3l5eTp//rx7m6lTp+rhhx92Px83bpwOHTqklJQU7d69W6+99poWLFigyZMn192nAAAAXsujMDJ37lwVFBTo5ptvVnR0tPvx9ttvu7fJzc3V4cOH3c87d+6sVatWKT09Xf3799dzzz2nWbNmaeTIkXX3KQAAgNe6onVGGkp9rjMCAADqR02/v7k3DQAAMBVhBAAAmIowAgAATEUYAQAApiKMAAAAUxFGAACAqQgjAADAVIQRAABgKsIIAAAwVa3u2tvQLi4Sa7fbTa4EAADU1MXv7cst9u4VYaSwsFCSFBsba3IlAADAU4WFhbLZbNW+7hX3pnG5XDp27JhCQ0NlsVjq7M+12+2KjY1VTk4O97ypAY5XzXGsao5jVXMcq5rjWNVcfR4rwzBUWFiodu3ayc+v+pkhXtEz4ufnp5iYmHr788PCwjhZPcDxqjmOVc1xrGqOY1VzHKuaq69jdakekYuYwAoAAExFGAEAAKby6TASFBSkZ555RkFBQWaX4hU4XjXHsao5jlXNcaxqjmNVc43hWHnFBFYAANB0+XTPCAAAMB9hBAAAmIowAgAATEUYAQAApmrSYWT9+vUaMWKE2rVrJ4vFovfff/+y+2RkZGjAgAEKDg5Wly5dNG/evPovtBHw9Filp6fLYrH85LFnz56GKdhEqampuvrqqxUaGqrIyEjde++92rt372X388VzqzbHylfPrblz56pfv37uhaeSkpL04YcfXnIfXzynJM+Pla+eU1VJTU2VxWLRE088ccntGvrcatJhpKioSPHx8Zo9e3aNtj948KCGDx+uwYMHKzs7W9OmTdPEiROVlpZWz5Waz9NjddHevXuVm5vrfnTv3r2eKmw8MjIylJycrE2bNmnt2rUqLy/XsGHDVFRUVO0+vnpu1eZYXeRr51ZMTIyef/55ZWZmKjMzU7feeqvuuece7dy5s8rtffWckjw/Vhf52jn1Y5s3b9b8+fPVr1+/S25nyrll+AhJxrJlyy65zZ/+9CejR48eldp+97vfGdddd109Vtb41ORYrVu3zpBknDlzpkFqaszy8/MNSUZGRka123BuVajJseLc+l7Lli2NV199tcrXOKcqu9Sx4pwyjMLCQqN79+7G2rVrjZtuusmYNGlStduacW416Z4RT23cuFHDhg2r1Hb77bcrMzNTZWVlJlXVuCUkJCg6OlpDhgzRunXrzC7HFAUFBZKkVq1aVbsN51aFmhyri3z53HI6nVqyZImKioqUlJRU5TacUxVqcqwu8uVzKjk5WXfeeaeGDh162W3NOLe84kZ5DSUvL09RUVGV2qKiolReXq6TJ08qOjrapMoan+joaM2fP18DBgyQw+HQv//9bw0ZMkTp6em68cYbzS6vwRiGoZSUFA0aNEh9+vSpdjvOrZofK18+t3bs2KGkpCSVlJSoRYsWWrZsmXr16lXltr5+TnlyrHz5nJKkJUuWaMuWLcrMzKzR9macW4SRH7FYLJWeGxcWqP1xu6+Li4tTXFyc+3lSUpJycnI0ffp0n/jHfdH48eO1fft2bdiw4bLb+vq5VdNj5cvnVlxcnLZu3aqzZ88qLS1NY8eOVUZGRrVfsr58TnlyrHz5nMrJydGkSZO0Zs0aBQcH13i/hj63GKb5gbZt2yovL69SW35+vqxWqyIiIkyqyntcd9112r9/v9llNJgJEyZo+fLlWrdunWJiYi65ra+fW54cq6r4yrkVGBiobt26aeDAgUpNTVV8fLxmzpxZ5ba+fk55cqyq4ivn1JYtW5Sfn68BAwbIarXKarUqIyNDs2bNktVqldPp/Mk+Zpxb9Iz8QFJSklasWFGpbc2aNRo4cKACAgJMqsp7ZGdnN/muYaniF8KECRO0bNkypaenq3Pnzpfdx1fPrdocq6r4yrn1Y4ZhyOFwVPmar55T1bnUsaqKr5xTQ4YM0Y4dOyq1PfLII+rRo4emTJkif3//n+xjyrlVb1NjG4HCwkIjOzvbyM7ONiQZL774opGdnW0cOnTIMAzDeOqpp4yHHnrIvf2BAweMZs2aGU8++aSxa9cuY8GCBUZAQIDx3nvvmfURGoynx+pf//qXsWzZMmPfvn3G119/bTz11FOGJCMtLc2sj9BgHn/8ccNmsxnp6elGbm6u+1FcXOzehnOrQm2Ola+eW1OnTjXWr19vHDx40Ni+fbsxbdo0w8/Pz1izZo1hGJxTP+TpsfLVc6o6P76apjGcW006jFy8nOvHj7FjxxqGYRhjx441brrppkr7pKenGwkJCUZgYKDRqVMnY+7cuQ1fuAk8PVYvvPCC0bVrVyM4ONho2bKlMWjQIGPlypXmFN/AqjpOkozXX3/dvQ3nVoXaHCtfPbceffRRo2PHjkZgYKDRpk0bY8iQIe4vV8PgnPohT4+Vr55T1flxGGkM55bFMC7MSgEAADABE1gBAICpCCMAAMBUhBEAAGAqwggAADAVYQQAAJiKMAIAAExFGAEAAKYijAAAAFMRRgAAgKkIIwAAwFSEEQAAYCrCCAAAMNX/B9uwbtb+kJsFAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mpl.rcParams['lines.linewidth'] = 2\n",
    "mpl.rcParams['lines.linestyle'] = '--'\n",
    "plt.plot([1,2,3,4],[2,3,4,5])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "另外matplotlib也还提供了了一种更便捷的修改样式方式，可以一次性修改多个样式。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1ee979a50a0>]"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mpl.rc('lines', linewidth=4, linestyle='-.')\n",
    "plt.plot([1,2,3,4],[2,3,4,5])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.修改matplotlibrc文件"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "由于matplotlib是使用matplotlibrc文件来控制样式的，也就是上一节提到的rc setting，所以我们还可以通过修改matplotlibrc文件的方式改变样式。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'C:\\\\ProgramData\\\\Anaconda3\\\\lib\\\\site-packages\\\\matplotlib\\\\mpl-data\\\\matplotlibrc'"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 查找matplotlibrc文件的路径\n",
    "mpl.matplotlib_fname()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "找到路径后，就可以直接编辑样式文件了，打开后看到的文件格式大致是这样的，文件中列举了所有的样式参数，找到想要修改的参数，比如lines.linewidth: 8，并将前面的注释符号去掉，此时再绘图发现样式以及生效了。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![](https://img-blog.csdnimg.cn/20201124005855980.PNG)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 二、matplotlib的色彩设置（color）"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在可视化中，如何选择合适的颜色和搭配组合也是需要仔细考虑的，色彩选择要能够反映出可视化图像的主旨。  \n",
    "从可视化编码的角度对颜色进行分析，可以将颜色分为`色相、亮度和饱和度`三个视觉通道。通常来说：  \n",
    "`色相`： 没有明显的顺序性、一般不用来表达数据量的高低，而是用来表达数据列的类别。  \n",
    "`明度和饱和度`： 在视觉上很容易区分出优先级的高低、被用作表达顺序或者表达数据量视觉通道。  \n",
    "具体关于色彩理论部分的知识，不属于本教程的重点，请参阅有关拓展材料学习。  \n",
    "[ECharts数据可视化实验室](https://vis.baidu.com/chartcolor/basis/)  \n",
    "[学会这6个可视化配色基本技巧，还原数据本身的意义](https://zhuanlan.zhihu.com/p/88892542)\n",
    "\n",
    "在matplotlib中，设置颜色有以下几种方式："
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.RGB或RGBA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.style.use('default')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1ee979fe8b0>]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 颜色用[0,1]之间的浮点数表示，四个分量按顺序分别为(red, green, blue, alpha)，其中alpha透明度可省略\n",
    "plt.plot([1,2,3],[4,5,6],color=(0.1, 0.2, 0.5))\n",
    "plt.plot([4,5,6],[1,2,3],color=(0.1, 0.2, 0.5, 0.5))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.HEX RGB 或 RGBA "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1ee9761d8e0>]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 用十六进制颜色码表示，同样最后两位表示透明度，可省略\n",
    "plt.plot([1,2,3],[4,5,6],color='#0f0f0f')\n",
    "plt.plot([4,5,6],[1,2,3],color='#0f0f0f80')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "RGB颜色和HEX颜色之间是可以一一对应的，以下网址提供了两种色彩表示方法的转换工具。  \n",
    "[https://www.colorhexa.com/](https://www.colorhexa.com/)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.灰度色阶"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1ee979c1160>]"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 当只有一个位于[0,1]的值时，表示灰度色阶\n",
    "plt.plot([1,2,3],[4,5,6],color='0.5')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.单字符基本颜色"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1ee98dd51f0>]"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# matplotlib有八个基本颜色，可以用单字符串来表示，分别是'b', 'g', 'r', 'c', 'm', 'y', 'k', 'w'，对应的是blue, green, red, cyan, magenta, yellow, black, and white的英文缩写\n",
    "plt.plot([1,2,3],[4,5,6],color='g')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5.颜色名称"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1ee98d340d0>]"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# matplotlib提供了颜色对照表，可供查询颜色对应的名称\n",
    "plt.plot([1,2,3],[4,5,6],color='tan')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![](https://matplotlib.org/3.1.0/_images/sphx_glr_named_colors_002.png)\n",
    "![](https://matplotlib.org/3.1.0/_images/sphx_glr_named_colors_003.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 6.使用colormap设置一组颜色"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "有些图表支持使用colormap的方式配置一组颜色，从而在可视化中通过色彩的变化表达更多信息。\n",
    "\n",
    "在matplotlib中，colormap共有五种类型:\n",
    "\n",
    "- 顺序（Sequential）。通常使用单一色调，逐渐改变亮度和颜色渐渐增加，用于表示有顺序的信息\n",
    "- 发散（Diverging）。改变两种不同颜色的亮度和饱和度，这些颜色在中间以不饱和的颜色相遇；当绘制的信息具有关键中间值（例如地形）或数据偏离零时，应使用此值。\n",
    "- 循环（Cyclic）。改变两种不同颜色的亮度，在中间和开始/结束时以不饱和的颜色相遇。用于在端点处环绕的值，例如相角，风向或一天中的时间。\n",
    "- 定性（Qualitative）。常是杂色，用来表示没有排序或关系的信息。\n",
    "- 杂色（Miscellaneous）。一些在特定场景使用的杂色组合，如彩虹，海洋，地形等。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1ee98dff970>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Y+3LflvAZLAwvRERECWLdy5uhhOnekarEP/4YGF5ONtjD/p2qV0XTkZZBqa+vGF6IiAaJ6uiGp8EB6fREuxSioE4eaQ3a/XO21obANQKzC61h2ysGBTnDsgZcW39wwC4R0QA5d9jQ9to2uLYf821IMiDlmtFIX1QGQ5yukNx5sAVNaw9AdXuRMbkAWTNLQi7jQrEje1gmlK31YQNMZmHggN2535+BF+97O2TXkepVUfGd8kGtszcML0REA9BddRgnHwqcGRwuLzrfr0H3Z/XI/d31MOSkRqe4CPC0ObFzybtofLcGEAAUAXglUkZlYdKr30DGpIJol0hhzLljGj5d+UXI/UIRuPr7MwK2zV18uW/Q7sEmqB61R/tJc0Zj6vzxEak3FHYbERGdJ+nyouWxDYCUwLm/laoSanMnHH/cEp3iIkCqEttv+V80rt53agMAr+/r7jzUiq3zX0fnodao1Ue9u3jeRZj4tTEQSs+rZIpRQf7IIfjavwaGl5SMZPz6o6W4dP54X2A9xWBUUPHdcjz0zp2a3iYNcJI6IqLz1rXuK7Q88mH4RkYFBX/9Fyjp+l9AtvnDg9h2w19C7hcGgWHfvQQXPj5Xw6qov5ydp+Z5eSVwnpdL5l+EJX+8DVkFoc+dxw83o+bTQzAYDZgwc9SgzrDLSeqIiDTgqW8FDAoQbgCkR4XX1hYX4aXhr7sgjALSE/x3XumVOPY/OxheYpw5JQlL/vAtfOuX12HPxq/g9ai44LIS5JeGnmH3tPySIcgv6b1dpDG8EBGdJ5Fs8nUZ9dYuxaRBNZHnbukKGVxO87a5IFUZtFuCYos1Nx3Tb7o42mWcF455ISI6T5bLR/Qc63I2ARhHZMFQFB9d2MnDMyGM4U8b5sJ0BheKOIYXIqLzZCzKQPLXLgBC3SIsgfRFZXFzC/HQ2ydDesJ0kSkCxd+7RLuCKGExvBARDUDm0pmwXFnqe2IQgFHx3ZFhVGC9+wokzyyNan2DKX1CPobfeWnQfcIgkDp6CIYvCb6faDDxbiMiokHgPtyCrvUHITtcMBSmI+XqC6BkWKJd1qCTUuLw7z/DoSc3wXWiEwAgkgwo/OfxGPtfX4MpOznKFZJe9ef8zfBCRET9prq9aNtxHKrLi7QxOQwtNGC8VZqIiCJKMRlgvaQo2mVQguKYFyIiItIVhhciIiLSFYYXIiIi0hWOeSGKI7KjG3C7gRQLRFJ8zOpKRINLSonmI61wdbmRMzwLSRb9/axgeCGKA+rRE/B+vg9osvs2KAJiZBEMZWMhUuLvdl0iOj9Vf92O//v5GtTvbAAAWNLMuOr75fjnh+chJUM/d4zxVmkinVMPHoN3Q3XPHUIAyUkwXnc5RCoDDFGi+9uT6/Da0lUQQuDsU79iECieUISff/RvSE6P3s+K/py/OeaFSMek2wPvJztC7JRAlwvebTXaFkVEMaf5SAv+dO/bAIBzr1moXom6Hcfw7uMfRqGy88PwQqRj8pAN8HjDNJCQtccgXW7tiiKimLPupc0hl+ACAKlKrH324x7BJlYxvBDpmHR0AL2t4KtKoKNbm4KIKCYd23ei1zaOxnY4O1waVDNwHLBLpGcmo697qC/tKGq8rd3o+vgQ1DYnjEMzkFw+HMJkiHZZlECS082nVjcP/fNCMSgwWfTxs0IfVRJRUMqIAqi9jWnJsUKk6ecugngiVQn7H7bA8eaXgEf1XSVTJRSrBdn3zULKzBHRLpESRPnNU1D53Cch9ysGBZd9YxIMRn2EanYbEemYyEiFGBV+fRnDlDEaVUPnan3+UzjeqPYFF8DXhQdAdXSj6f9Vonvb0egVRwll/JzRGHfFSCiGnqd9oQgIReDGZddEobLzw/BCpHOGyyeeCTACZ8bAGA0wzJoMZVhu1GpLJJ76Vjirj8FT3woA8DZ3ou1/Q90J5vtP6wufhf87mzvRvfcE3La2Qa2VEo8QAve9868YP+cCAIBiVGA41XWZYrXggb/9K0qnFEezxH7RpNvomWeewa9//Ws0NDRg/PjxeOqppzBz5sygbdevX485c+b02L5nzx6MGzcu0qUS6Y4wGGCcdTHkxaOhHrIBLrfvikxpIQTHukSc88sGOJ7bDPe+Jv8205gcGC/K919pCUoCrj0n4DnmgLEocE4L51cnceKpTej8pM4/RMFycQFyf1KO5CmFkfgyKAGkZaXgPyvvwsFtddj6zk64ut0omVSEaTddrLtZdiP+k+3NN9/E3XffjWeeeQaXX345nn/+ecybNw+7d+/G8OHDQ76upqYmYJKa3Fz+9kjxTbrckC0OAIDIyuj39P4iIxWGSaMiURqF4Nx+FM0PvN8jpLj3N8G9vwlCEZDe8AOqvQ4njGf1/Dn3NaHuO6sgnZ6AsZXdXx5H/eK3MfTp65A6XT+/IVPsGVk2HCPLQp9/9SDi4eWJJ57A9773PXz/+98HADz11FP4+9//jmeffRYrVqwI+bq8vDxkZmZGujyiqJMeL9Qv9kIeOnrmJKgIiBFDoUweB6GTAXSJRkqJ1qc+9n3Pzs0nEoAAFEXCG2YaHgjAmJcasOn4io2Q3Z6eV21UCQjg+PJ1KH3vXyCCjF0gShQRPfpdLhe2bduGioqKgO0VFRXYtGlT2NdOmTIFhYWFuPrqq7Fu3bqQ7ZxOJxwOR8CDSC+kqsL70TbIg0cCT1aqhDx4xLdPVaNXIIXk3tMI71FH6DtPpW+cAUJNw2MQsJQPhyE7xb/JdbgV3dW20N1NEvAcb0fnFg70pcQW0fDS1NQEr9eL/Pz8gO35+fmw2WxBX1NYWIgXXngBK1euxFtvvYWxY8fi6quvxsaNG4O2X7FiBaxWq/9RXMzLqaQf8ogNaGoJ3aCpBfLIce0Koj7z9HEQbdBZTRUBYTEh687pAZvd9fY+/Z19bUcUrzQZzSfO+dcrpeyx7bSxY8di7Nix/ufl5eWor6/Hb37zG8yaNatH+2XLlmHp0qX+5w6HgwGGdEM9eKQPbeqhDOcgzVijZPRtAbuMRZeg44Ov4DkrcFjKhiLrJzNgKskM/DvTzX177z62I4pXEQ0vOTk5MBgMPa6yNDY29rgaE8706dPx+uuvB91nNpthNvMfMulUX6bt59T+Mcl8cREUqwWqPfT3R7FakLHwEmTcUQb3wRao7U4YC9JhzE8L2t4yIQ/GvFR4GjtC/p3CbEDqFSUDrp9IzyLabZSUlISysjJUVlYGbK+srMSMGTP6/Pds374dhYX8zZPikCVpcNoQpJSQ7d2Q7U5NFpcTRgXp3780bJv0718KYVQghEDSqGxYJheGDC4AIAwKcu6aFvbvzP7OJTCk8ZigxBbxbqOlS5di4cKFmDp1KsrLy/HCCy+grq4OS5YsAeDr9jl69Chee+01AL67kUaMGIHx48fD5XLh9ddfx8qVK7Fy5cpIl0qkOWXEUKgnw49fUEYM1agafZKqhGfDPrjW7oI87huHIgqtSJo7HsYrLgjZRT0YUueNA9wqHH/4DLLL7Z/+XySbkLH4Mt/+fspYMA5qpxsnntwE6fICBgXwqoCiIPuOi5H9r1Mj8JUQ6UvEw8stt9yC5uZm/PznP0dDQwMmTJiA1atXo6TEd9mzoaEBdXV1/vYulwv33nsvjh49iuTkZIwfPx7vvfce5s+fH+lSiTQnSoqA/YeB9s6eCywKAaSl+NpQUFJKOF/dBM9HBwK32+xwvrwJ3iMtMN96aWQDzD9dhOSKMXBWHYa3uQOGIakwl5dAGcACd5m3TET618eife0BuI+3w5idjLRrRsF41p1JRIlMSC2ur2rI4XDAarXCbrcHTHJHFKtktxPez3YAx5sDd+QPgeGyiRAWjukKxVNdj+7ffhi2TfL918IwtkCjiojofPXn/M25w4miTFjMMM6aCtnWAXnCd9u0yM2CSE/t5ZXkXlfj76oJShFwratBMsMLUVxheCGKESI9lYGln9QjLeHXD1Il1Pow8+gQkS5xfmki0i9z779/iT60ISJ9YXghIt0yXjoixBS2p4hTbYgorjC80KCRUkKqqiZzbBABgGn2WMBiDB5gFAGkmmGaeYHmdXlbu+Da0wj3oRb+eyCKAF5PpQGTUgItJyFbTgIet29baipEdg5ECsdwUOQoWSlIvrcC3f/9D0hHN2A4FWK8EsKaDMs9X4NI69s0/oPB09gO+3Ob0f3RIf9YHMPQDGTcMRUpV43SrA6ieMdbpWlApJSQR+qAzuDTmYvCoRAZVo2rokQj3V54th2Gd99xQAgYxxXAMGU4hFG7i8veEx1o/NHbUFu7AG/PH6vWH89A2g3jNavnbGq3B00rd6HxLzvgOtYGU04Kcm4ej7xbJ8LAdZIoRvTn/M3wQgMiTzZDngiz6rEQECNHQxj1f5FPqipgd0B6vRCpKRDJydEuiWJIy282oPPv+0Pf/WRUUPC/34bBqt2VIADwOJzYe9tf0bnjOCAASPj+BGAenokL/3oLksIsWUCklf6cvznmhc6blNLXVRS+EeBo1aSeSJFSQq0/Au9Hn8C79XOo27+A9+MqeLZth+zojHZ5FAPULjc6PzgQ/rZtr4qufxwIvT9C6n6+Dp27G31PTpcnfQ/nETsO3vO+5jURDRTDC50/Kf1jXMI263ZqUEzkyNpDUPfuA1znfK0trfBu2QrZ1RWdwihmqC1dgFsN38igwNPQpk1Bp7hPdqJ51Z6g3VgAAK+E45M6dB1oDr6fKEYxvND56+t6MUrk1pWJNOl0Qv2qNsROCXi8ofdTwlD6ssqzKqFoPL6k48vjkJ5eQhWA9q3HNKiGaPAwvNB5E0IAfbibSKSla1BNZMgGWy8NJKTtOKTXq01BFJOUDAvMZUPDB3VVInnOSO2KAiD6+ouDjn/BoMTE8EIDIobkhG+QlASk6ncwoOx29n6FSUrA5dKmIIpZ6YvKfANhgx0uAkiuGA1TcaamNaVeXAhhNoRvJICM6cXaFEQ0SBheaEBESipEQVHwnUlJEMNKfFdodEokmXzhpDdGU+SLoZhmHp+PIf91LZTTdxMZhD/MpMwbi6ylMzWvyZhhRt63JoW+smIQyLxmFMzDOZ0B6Yv+71+lqBPWTN/VFXsrpLMbUBRfV1Fqmq6DCwCIgnygtzEtuTkQJv5TIsByWTEK3vw2ujcfhqfODpFiQvLlJTDkRu/qY/GyWej66iQcHx0+swL3qT9TLszFyN/MjVptROeLP3FpUAijERiSE/SKuZ6JlBSIYUWQR0IMaFQUGEaValsUxTRhVJB8RewcE4rFiLGvfgOtH3yFE2/uhPOIHabcVOR8cwKy54+GwoUrSYd41PaVVAH11KBMYQAU9rglCmXcWKgGA2TdkcAupORkGCZcBJGu3wHJlBiEQUHWtaORde3oaJdCNCgYXnojJeDuPhNcTlMMgMnS99uFSbeEEDCMGQ1ZOgKyqRnw+GbYRVam7rvFiIj0iOElHCkBV5fvqsu5VK9vX1IyA0yCECYTRGHBgP4O6XRB/aoOsu6ob9I7iwXKiKEQpcUcN0NE1Ef8aRmO6gkeXE6TKuD18E4T6hPZ0Qnvxi2A03lmmvaOTqi79gN1x2CYeSmEuQ+TnRERJTgO3AinD1Pfw9uHNkQAvFt3AE7XmeBytvZOqF/u1bwmIiI9YngJqw/ze8TXotwUIdLeBpy0hz5epIQ8ety/DpRUpW/hS6cLssUB2c4FIImITmO3UVgKgF6mfed4F+oDedLeeyNVhVpTC3n8JNDqW8BPSpwJPJnpMEwaDaUoL3KFEhHpAK+8hGPsQ7YzcLwL9UFva8dICXgBWXPYH1xO7TizPk1rG7wbP4d6iIvoEVFiY3gJRzECIsxHJBTAEN8Xr6SUkJ0dkK0tkI5WyL6MA6IeRG52+AYSQXsp/bdin5V9vFt3Qbo9g1YbEZHexPeZd6CE8N0K7Xb67jw6m2IETOa47jaS3V2QjTbAc/bXfgIyLR0iJw+CE/X1mUhJhhiaD3nsePChVH1ZlFrA91qPF7LeBjFy2OAWSUSkEwwvvRECSLL4LuufnqhOUcJfkYkD0uWEbDgafIBpexukqoZekJGCUqaMh7fbCTS3ngkiQvg+49PPQxBCQJ7+XgjBAbxBSFVloCZKEAwvfSVE3HcRnU22nAx/J1VnB6SzG8Js0a4onRMmIwwzL4W0NUHWH4PsdkKkJEMZMRTejZ8DntCXX+TZ3wspgSSOtQIA2d4N99rdcG/cB7Q5AYsJxstHwTR3ApTs1GiXR0QRkjhnY+ozKSXQ0d57u/Y2hpd+EkJAFOYChbmB24fmQdbZwgfGs3Ypw/IjVKF+qK2d6F7xPuTJDt9KyQDQ7YZnXQ08mw8i+YF5UIoyo1ojEUUGr7FST2qYWYXP5u3LQA3qC2XMiJD75DmBRowcBpGWEuGKYp/r9U8Dg8tpqgS63HC+sLHHZ0dE8UGT8PLMM8+gtLQUFosFZWVl+Oijj8K237BhA8rKymCxWDBy5Eg899xzWpRJpylK3wYic1mEQSOyMqCUTw5YrfzMaVf4n4iRw2Aou0jr8mKO2tIJb3Vdz+DibyCh1rdAPdSsbWFEpImIdxu9+eabuPvuu/HMM8/g8ssvx/PPP4958+Zh9+7dGD58eI/2tbW1mD9/PhYvXozXX38dn3zyCX74wx8iNzcXN910U6TLJZwaHJpuBRyt4dulZ2hTUIJQhuVDXHcl5KGjkCftvrujk0yAyQhhToJSXACRmhztMmOCeqSlTxNgq3UnYSjNiXxBRKQpISN8XXXatGm45JJL8Oyzz/q3XXjhhbjhhhuwYsWKHu3vv/9+vPPOO9izZ49/25IlS/DFF1+gqqqq1/dzOBywWq2w2+3IyODJ9XxJrwfyaP05t0mfJTMbSvYQbYsiOsW7twHdv17ba7uk714O0+UXaFAREQ1Uf87fEe02crlc2LZtGyoqKgK2V1RUYNOmTUFfU1VV1aP9tddei61bt8Lt7jlBmtPphMPhCHjQwAmDEaKoGEhNC9xhMPjmeMnqZdI1oghSRuUByb10WyoChglDtSmIiDQV0fDS1NQEr9eL/PzAOyPy8/Nhs9mCvsZmswVt7/F40NTU1KP9ihUrYLVa/Y/i4uLB+wISnDAaoeQXQpSUQhQNgxhaDDG8FCLDembmV6IoECYDTBXjwzQQMMwYBcXKbjaieKTJgN1zT3RSyrAnv2Dtg20HgGXLlsFut/sf9fX1g1AxnU0YjBCWZAizhaGFYobpuokwzhrte3J6/adTfxomFsH87WlRqoyIIi2iA3ZzcnJgMBh6XGVpbGzscXXltIKCgqDtjUYjhgzpOcbCbDbDbDYPXtFEpAtCUWBeNAPGOePg+Xg/5MkOiIxkGMtHQrkgj0GbKI5FNLwkJSWhrKwMlZWVuPHGG/3bKysrcf311wd9TXl5Od59992AbWvXrsXUqVNhMvHWXCIKZBieDcNtvMpClEgi3m20dOlS/PGPf8RLL72EPXv24J577kFdXR2WLFkCwNftc/vtt/vbL1myBIcPH8bSpUuxZ88evPTSS3jxxRdx7733RrpUIiIi0oGIz/Nyyy23oLm5GT//+c/R0NCACRMmYPXq1SgpKQEANDQ0oK6uzt++tLQUq1evxj333IPf//73KCoqwm9/+1vO8UJEREQANJjnRWuc54WIiEh/YmaeFyIiIqLBxlWliYjO4j3ZAdXWBpFsgqEkG0LhXUtEsYbhhYgIgNfmQPuLm+HeVu9fN0nJT0fKbWWwzBoV3eKIKADDCxElPG9jG1rvfxey3Rmw4KN6vA3tT66HbHcieT5X8yaKFRzzQkQJr+ONbb7goga/f6Hj5U+htjk1roqIQmF4IaKEpna64PrkYMjgAgDwqnB+9JV2RRFRWOw2orgnOzsh7S2AlBBp6UB6BqeOJz/Z0gV4e5kxQlGgNrZpUxAR9YrhReekVIHubkBVAUUBzBYIhRfUAEC63VD37wXsLWe2AUBKCpQxF0Ekp0StNoodIi2p90ZSQqRbIl8MEfUJz3I6Jrs6gRPHAUcr0O7w/XnCBtnRhjibe7DfpKpC3bMjILj4dXZC3fkFpMulfWEUcxRrMkwTC8+sTB2MKmG+YqR2RRFRWAwvOiW7On1hJVhIaW8DOjs0rymmtDQDHe2h93vckLZj2tVDMS3ltjJAwPc4lwDMFWNhyE/XuiwiCoHhRYeklL4rLeF0tPm6lBKUeqKx1zbyxHENKiE9MI3LR8ZPKyCsyb4Np6/CKAKW+Rch7V9nRK84IuqBY170yO32jXEJR0rA6QQsydrUFGs87sFpEyek0w11/1HgpAMwGSBGFEIUZHHg8lmSpgxD9h9vhevzI/AetUNJMSHpshIIqwWuz+rRtXoPPLUnIcxGmGeWInn+hTDkpEa7bKKExPCiR329otJbwIlnZgvQ1svVKXNiDMBUDxyFd1014FV9VxQkgC8OQhRkwzD3UghLHwasJghhUGC+dDhwqe+5VCXafvsxuiv3+T67U7dTd/7fl+j6225k/mIeTGNzo1gxUWJit5EeGQyD2y4OKfkFvbYR+YUaVBJd6rFmeD/43BdcAN/J99Q4KXm8BZ41nyX84O5wuv9e4wsuQOA8MKqE7Pag9edrId3e6BRHlMAYXnRIGE2A0RS+kaIASWZtCopF6VYgJy/0/tQ0iLzeA47eqZ/vDz4IFfCFGFsLpO2kpjXphZQSnat2hG6gSkh7N5wf12pXFBEBYHjRrwxrL/szE3o8gxACygVjIYpLAIPx7B0Q+YVQxk+CiPMrU9LtgTxyImCtnh6EgDzYoFlNeiLbXfAe66Xr0SDg2sWB30Ra45gXnRKmJMjsHN+4DvdZ85UYTUBaBoQ5ga+6nCKEgBhWAllUfOq2aQkkp0IYE+Sw9/StO4PdHiH0Mfsn8O8IRFGTID/F45MwJQHZOZBeD+D1AoohcU7M/SAUBUjPiHYZ2jMnARYT0B3mriopIbLStKtJR0RqEgzDM+Gtbw199corYZoU/2OniGINu43igDAYIZLMDC4UQCgCykUjwl9BUASUscValaQrQgik3DQpdHBRBJScVJjLR2hZFhGB4YUorilTLgCGZPQMMKeeG66czFulw7BcdQGSb5zge2I460MUgEgzI3N5BYSRP0aJtMZf1YnimDAZYfyny6Fu3w9192HA6etCEgXZUC4ZA6WYc5SEI4RA+vemwTy95MwkdRYTLFeUwnLNGCjpHFtGFA0ML0RxTiQZYZh2IZRLxwJdLsBogDD3cqs9BUgaX4Ck8fF/az2RXjC8ECUIoShAamLMKkxE8Y3hJUZJKX1r73R1AaoHEIpvOnuzJaHnbyEi37IFHZvr0b2vGcJiRPqVI5BUyFWvKXEwvMQg/6rRzu7AHW4X0NUBac2CUOJ7gjUiCq7zCxvq710D99G2U2tVSTT8Asj8p3EoWj4Hipk/1in+cZh8LOru7BlcTvN6AUerpuUQUWzo/uokar+zCu6Gdt8GVfpu5ZZA67s1qP+Pv0e1PiKtMLzEGCkl0NkZvpHHA+kOM/EYEcWlE89v9c2IrAaZfEaVaPvgILp2crkCin8ML7HG6wWk2ns7tzPytRBRzJBuL+xr9gPeMItVGQRa/7ZPu6KIooThJeaEW0WPiBKV2uUBPL3/YuNt7dKgGqLoYniJNQZj31Z6M3KeDqJEoqSaoKT2PhuyaWgCruNFCYfhJcYIIQBLcvhGigEwcUp3okQiDAqyvnlR4DIF51Ilsm68ULuiiKIkouGlpaUFCxcuhNVqhdVqxcKFC9Ha2hr2NXfccQeEEAGP6dOnR7LM2JOSBphCXFkRAsjI5FwvRAkod/FUmPLTQgaY3B9ciqRhVo2rItJeRMPLbbfdhurqaqxZswZr1qxBdXU1Fi5c2Ovr5s6di4aGBv9j9erVkSwz5gghgIwsIC3jTDeSogDJqUDWEK4eTZSgjNnJGPmXm5FRcYFvjpfT2/NSUfifVyLvx9OiWB2RdiJ2FtyzZw/WrFmDzZs3Y9o03z+oP/zhDygvL0dNTQ3Gjh0b8rVmsxkFBYm9joi/+6i3LiQiSiim3FQMf3wuPA92wlnbAsVihOXCXAgDRwFQ4ojY0V5VVQWr1eoPLgAwffp0WK1WbNq0Kexr169fj7y8PIwZMwaLFy9GY2NjyLZOpxMOhyPgQUQU74xDUpA6dSiSJ+QzuFDCidgRb7PZkJeX12N7Xl4ebDZbyNfNmzcPb7zxBj788EM8/vjj2LJlC6666io4ncHnNVmxYoV/TI3VakVxcfGgfQ1EREQUe/odXpYvX95jQO25j61btwJA0EGlUsqwg01vueUWfP3rX8eECROwYMECvP/++9i3bx/ee++9oO2XLVsGu93uf9TX1/f3SyIiIiId6feYl7vuugu33npr2DYjRozAl19+iePHe05TfeLECeTn5/f5/QoLC1FSUoL9+/cH3W82m2E2m/v89xEREZG+9Tu85OTkICcnp9d25eXlsNvt+Oyzz3DZZZcBAD799FPY7XbMmDGjz+/X3NyM+vp6FBYW9rdUIiIiikMRG/Ny4YUXYu7cuVi8eDE2b96MzZs3Y/HixbjuuusC7jQaN24cVq1aBQBob2/Hvffei6qqKhw6dAjr16/HggULkJOTgxtvvDFSpRIREZGORHSI+htvvIGJEyeioqICFRUVmDRpEv70pz8FtKmpqYHdbgcAGAwG7NixA9dffz3GjBmDRYsWYcyYMaiqqkJ6enokSyUiIiKdEFLKuFoJ0OFwwGq1wm63IyODa3wQERHpQX/O35wcgIiIiHSF4YWIiIh0hYvkEBERBdF1shOHPjgAd5cH+RcXIn8y73qNFQwvREREZ/G6vfjwP97H9uc+hdfl9W8vvHQYFrx2M4aMzY1idQSw24iIiCjA3+74K7b+rioguACA7fNjeO3y52Cva41OYeTHKy9ERAQA6NjVCNsbX6K73g5jlgV5N12EzJkjIJTQS7rEm4ZtR7H7L18G3Se9KpwOJzY/thHXPv1PGldGZ2N4ISJKcFJKfPX//oGGP26DMCiQXhUwCDS+uRMZ5cUY//pNMKYlxjIsO1/7HIpRgepRg+6XHhU7XtmGit8tCLtOH0UWu42IiBLc0ee3oOGP2wD4ri4AALy+KcAcnx3Bvh+vjlZpmutobIdUw09/5u50w9Pl1qgiCobhhYgogaluL4787tPQDbwSzav3oetQi3ZFRVF6kbXXbrKkDDOMySaNKqJgGF6IiBJYx65GuJs6wzcSwMkPDmpTUJRNvOOSkF1GACAMApO/O5VdRlHGMS8UkpQSUL0ABKAo/MeqA1JKyKNNUGvqIO0dEBYTlFFDIUYNhTAaol1exEm3F+rBE5BuL5RhWVAyU6JdUsyTbm/vjYSAdHkiX0wMyJtYgIsXT0X1H7cC5/QeCYOClNwUTP+PmdEpjvwYXqgHKSXgsEPaWwHvqR9YpiTAmgmkpTPExCipqvBuqIasbQCEAKSEBOC1nQR2fAXjvHKIVEu0y4wIqUq43/sSrjW7gNNjEQRguKQE5n+ZBsWaHN0CY1jy6BwIkwLpDn21AapE2qQC7YqKsmufuQGpBRn47MmP4W53+beXzBmJ+X+4EWmFXDcv2rgwIwWQUkKeOA50tAdvYM2Ekp2jbVHUJ97q/VA/3xd8pxBAjhWmBZdrW5RGul/ZBM/G/T13KAJiSCpS/vM6iAS5W+Z81PzbajT+dad/kG4Ag4ClJBNTNy1OuF9cXB0u1H90CN5uD3In5iNr1JBolxTXuDAjnb+O9tDBBQDsrZDObu3qoT6RXhXqrtowDSRwohXqiVbNatKK93Bz8OACAKqEbO6Aq3K3tkXpzMjlc5A8Mhs4d6CqQcCQkoQL/3B9wgUXAEhKTcKouWMw5oaLGFxiDMMLBZAO+6C0IY21tgPOXm7dFIBsaNamHg15Pj7Q86R7NlXCsyHEFSkCAJiyknHx+wtR8h9XIKkwHQBgSE9C4aIpuOTD7yBtQn6UKyQKxDEvFMjt6r2Nqw9tSGN96f31jYOJN+rJDqCXeTmkoxtSlQk1U2x/GdPNGL50BoYvnQEpZUJeaSH94JUXCiT6cEjwBBB7rGmAqZffRaSEyM/Wph4NiXRL78dksonBpR8YXCjWMbxQoLS0XpuI1HQNCqH+EEYDlAtLgFDnHCGAzDSI/CxN69KCqXxk+CsvioDp8gu0K4iIIo7hhQKIdKvvRBeKwQCkMbz0l1RVqI3NUI80QDa3IBI3+SlTRkMUnroT7NxvoSUJxqvjc2ItZUw+DBOHBj9uFQEkm2CaO177wogoYjjmhQIIkwkoKII83gCo58z7YDRCFBRBKMy8/aHWN0DdtQ9wnjVWKMUCZdKFUPIH77ZzYTDAUHEp5MFj8O6tAxwdgNkE5YJhUMYOh7AkDdp7xRIhBCw/mg3nnzbDs+mrgOE/ytBMWH4wC0p2avQKJKJBx3leKCgpJdDRDtndBQgBYUkBUlLi8jf3SFLrjkHdvivkfqV8CpQ8zpszWNSWDnh3HgM8KpSSbCilOTxmiXSiP+dvXnmhoIQQvtl02UV03qRXhboz/C266o59EFcN4Ql2kChZqVBmjo52GUQUYbz+TxQhsrEJcPcy90p7B2Bv06YgIqI4wfBCFCnOvs2HI7udES6EiCi+MLwQRYq5bwNkhYVr7hAR9QfHvBBFiMjLAUym8F1HaamAleOKSD9UlxfH/7+9OLFmP1SXFxkT8zH09skwF/A4Ju0wvBBFiDAoUCaMCX+30cSxHKxLutF5sAXbrv8zug63AgYBqBKN79bgq199hPFPfx1Ft02KdomUINhtRBRByvAiKJdM6NmFlJIMZfoUKHlcqZb0QXV5se36P6P7yKmFWb3SN6eOKiE9Knbe+S5aNtVFtUZKHLzyQhRhSnEhxNB8yOZWwOmCSLYA2VZecSFdaXy3xnfFJQShKKh9qgpZM4ZrVxQlLIYXIg0IRYHI1f+iiFJKyKPNUPc3AG4vRL4VyoXFEEn8URLvTqzZD2EQkN7g85pKr4qmyq+4ejdpIqLdRo888ghmzJiBlJQUZGZm9uk1UkosX74cRUVFSE5OxuzZs7FrV+gxA0SkDdnphOdP6+H50waon+2Huv0gvKs/h/t37/nCDMU11eVFr/OxeyWkV+2lEdHARTS8uFwu3Hzzzbjzzjv7/JrHHnsMTzzxBJ5++mls2bIFBQUFuOaaa9DWxom8iKJFSgnP/34CeazFt0GVZ1ZydnngeasKakNL9AqkiMuYXBC+gQBSxwyBYjIM+ntLVUXdO3tQOe9V/LX413j7ov/GFz9fh67j7YP+XqQPEQ0vDz/8MO655x5MnDixT+2llHjqqafw05/+FN/4xjcwYcIEvPrqq+js7MSf//znSJZKRGHI2uOQDS0I+au3BLxVNdoWRZoq+pdJEIbw3UHDl1w66O+relV8dPtKrLvhz2j44Ct0HnXAvrcJX/x8Hd6+6Lc4+aVt0N+TYl9M3W1UW1sLm82GiooK/zaz2Ywrr7wSmzZtCvoap9MJh8MR8CCiwaXWHAXCjWOQEnLfMUg1rtZ5pbOY89Iw4dkFgCICQ4zwPXK/PgZD75gy6O+793ebUfuXLwEgYLyNVCXcjm78Y8HrUD3eQX9fim0xFV5sNl+Czs/PD9ien5/v33euFStWwGq1+h/FxcURr5MoWmS3C+rxZqgnWrQdW+Dyhr7qcpqUgJcnkXhW+M8TcNnfb0fOvNEQRt/pI3XMEFz45DxMfu0mKMbBPaVIVcWuJzf5bskOtt8r0VlvR/27vOqXaPp9i8Dy5cvx8MMPh22zZcsWTJ069byLOvcWUillyNtKly1bhqVLl/qfOxwOBhiKO7LbBe/neyAP286EiCQjlHGlUMaPjPht12JIOny/YocJMGkWwDj44x0otmROG4Ypf74ZUvrGPQlD5H4H7jzWhs56e9g2iklB40eHUXLjRRGrg2JPv8PLXXfdhVtvvTVsmxEjRpxXMQUFvgFhNpsNhYWF/u2NjY09rsacZjabYTZzbRiKX9LlhqfyU6C9M/Dqh8sD9cv9kB1dME6bENEalMkj4P14T+gGAjCUjeLcNQlECOGbZTeyb9JrEwn4cjUllH6Hl5ycHOTk5ESiFpSWlqKgoACVlZWYMsXXd+pyubBhwwY8+uijEXlPolin7qsD2jpC7pdfHYEcXQyRbY1YDSI9GYavTYK38oueF2AEIAqyoFx6QcTenxJTSlE60kZmob22JXTXkVtFwZyR2hZGURfRMS91dXWorq5GXV0dvF4vqqurUV1djfb2M7e3jRs3DqtWrQLgS/J33303fvnLX2LVqlXYuXMn7rjjDqSkpOC2226LZKlEMUvd38uU60JA/epoxOswTL0AxpvKIQqyzmy0mKBMHwvjbbMgTJyojgaXEALjl14eMrgIg0DayCwMnTda28Io6iL60+ZnP/sZXn31Vf/z01dT1q1bh9mzZwMAampqYLef6dO877770NXVhR/+8IdoaWnBtGnTsHbtWqSnc8VSSjxSSqDL2VsjyI4uTepRxhRBGVME2ekEPF4g1RLRMQ9EY++8DC1f2rDvha0QRgXSc2qgugDMOan42t8WQuExmHCElL3OmagrDocDVqsVdrsdGRkZ0S6HaMDc//cB4PKEbiAExIhCGMu5oi/FJyklbOtqUfPcZ2jZcRymDDNKb5mIC75zCcxZydEujwZJf87fvM5LFOOU0qG+cS8hJ4iTUEqLtC2KSENCCBReNRKFV3FsC/nwWhtRjFPGjQBMxuB3XghA5GdD5A/RvC4iomjhlReiQSK7uqHWHYVsbAKkCpGVCaVkGETGwMZridRkGK+ZBs/H1YA9cC0XUVwAw7QJvEV5gKTLA9fmw/DsPwEYBEwXD4NpUlHUV0fu3tWIjk/qIN1eWC7KQ+rMEv/kcESJjGNeiAaB2nQS6pZqQD1r1lshfF0648dCGTHwiROllJBNrZAnHYAioBTlQqSyv3+g3LttaHvsH5BtTsCgwLdQk4ShOBPpP62AITdN85o8J7vQ8B9r0PV5g28uFSEAjwpjXioKH5+L5AnB570i0rP+nL8Z4YkGSDpdULdWBwYXwD9GRd1VA3ly4CsuCyGg5GbBMLYEhtHDzzu4SLcH6iEbvPuPQm0KP3tpvPM2OOD4xd8h20/d0eVVgVPr53iP2uF46H3IcIOlI0B6VBz94bvo+uLUkiheCZy6w8bT1IkjP3gHrl5mnSWKd+w2IhogWX/Ud9ILRQh4D9bBmJ0Vuo0GpJRQt+2Ht/oA4D6zBpHItcIw52IoQ6J3pVJ2uaDuPQZ0uSFy0yFG5WvSZdP1t12+YBDs+rMqoR5vg2vTIZhnazcBX/vGQ3DWNAXfqUpIpwctb3yB/AdmaVYTUaxheKGQpJSAx+27omA0QRi4bk0watPJ8A2kBJp7aaMB76bdUL882GO7bLLDs+oTmL45EyJT2y4SqUp41+6A98PdvnljTstOhenWcigXRLZ7xPXJQSDcStgCcFbVahte/n7At4J3qLq8Em2r9zG8UEJjtxEFJTs7II/WQx6pgzx2BLKuFurxBki3O9ql6VOUR5ZJR2fQ4OLbCcDjhWfbPk1rAgDv6mp41+4IDC4A0NIB9/MfQj0c4grEIJHOXrqEJCC7tD3mvW3O8IEKgNrJf4eU2BheqAfZ3gZ5vAFwuwJ3dHZAHqtngDmH0lt3kACQnalFKSGp+46EX+ROSsgDxyDd2o3vkPZOeNeFWOxRAlAlPO9/EdEaDEOt4Rf1UwQMxdp29yWVZIZf8FAApqG8GYESG8MLBZCqCtnUGLqBqkKejOxvw3ojhg/tJRgAysjh2hUUrISO7t5X3lUl4NQumHq3H0bYS1JSQu6zQbZFbukDy9wLw18VUyUsFWMj9v7BWG+80D9oOJTMmyO7ijhRrGN4oUAd7aFncj2tswPS6w3fJoEIixlK2SRfgDk7xJz6f2XMKCg50Z1ETqRaeu+6UgRgNmlSDwCgvdv3nr2QHb2s7TQA5jmjYZoytGewO/U8+eaLYSzJjtj7B61pTA6y7pgSUIefImCZkA/rN8drWhNRrOGAXQogPX38zdvjATiA10/Jz4WYNR3q4SOQx08AUkJkWaGMGA4R5S4jAFDGDIN3S03oBkJAXFCk6crQIjOl17EdEIBIj9xcNsKgIP3+r6HrnZ3oXr0bstV3lcdQnInkGyfDPGtUxN77NPcROxwrd6N76xEAQPJlw2D95kUwDcvAyZc+h+dYGwBASTXBetN4DFlyKRQLf3RTYuMkdRRA2lv71C0khpVAmDT8LZ0GzLNpF9QvggzaFQIwGWC6Sdu7jWSHE67lb4W+zVwREOOHIek72txVI70q1NYuCIMCYbVoMmtxe+UBnHjoH74np7uKDAKAQN4jX0PKlaVw19shPSpMQzMYWiiucZI6On+pfTh5JZkZXHTIUH4RDJeNBUyBV8xErhXGGy7X/DZpkWqG4esXB9+p+AKVcf5k7eoxKDAMSYWSmaxJcHHVtuDEz/7hCy1nj3HxSkBV0fjTD+A56kBSSSbMo7IZXIjOwn8NFEAYjZDpGUCbI3SbLG3HANDgEELAUDYGyqSRkMeaId0eiKz0qE5OZ5x9IYTFBM+aLwBH95laR+TAeNNlUPKtUast0hx/3Rl6ELX0/cexcheG3D1Dw6qI9IHhhXoQQ3J9PzvPDTBCgcjJhUhJjUZZNEiEyQhREjtr4ximXwDl0pGQh5sgu90QOelQ8uK/y7fr0/rwdxV5Jbo212tXEJGOMLxQD0IIiJw8yMxs391HqgqYTEBKKoTCnkYafMKgQIzMi3YZ2uptsHJf2xAlIJ6JKCRhNEJYMyGysiHS0hlciAaRpawo/GR0BgHL1CLtCiLSEZ6NiIiiIOPmieGvrKgSGTdxMjqiYBheiIiiwDw2B0Pum+l7cvYVGIMABJDz4JVIGsXB8UTBcMwLEVGUZHxjPMwX5sL+5k50b/GtP5U8bRgybp4A87jcaJdHFLMYXoiIosh8YR7yll8V7TKIdIXdRkRERKQrDC9ERESkKwwvREREpCsML0RERKQrDC9ERESkKwwvREREpCsML0RERKQrDC9ERESkKxENL4888ghmzJiBlJQUZGZm9uk1d9xxh29V47Me06dPj2SZREREpCMRDS8ulws333wz7rzzzn69bu7cuWhoaPA/Vq9eHaEKiYiISG8iujzAww8/DAB45ZVX+vU6s9mMgoKCCFREREREeheTY17Wr1+PvLw8jBkzBosXL0ZjY2PItk6nEw6HI+BBRERE8Svmwsu8efPwxhtv4MMPP8Tjjz+OLVu24KqrroLT6QzafsWKFbBarf5HcXGxxhUTERGRlvodXpYvX95jQO25j61bt553Qbfccgu+/vWvY8KECViwYAHef/997Nu3D++9917Q9suWLYPdbvc/6uvrz/u9iYiIKPb1e8zLXXfdhVtvvTVsmxEjRpxvPT0UFhaipKQE+/fvD7rfbDbDbDYP2vsRERFRbOt3eMnJyUFOTk4kagmqubkZ9fX1KCws1Ow9iYiIKHZFdMxLXV0dqqurUVdXB6/Xi+rqalRXV6O9vd3fZty4cVi1ahUAoL29Hffeey+qqqpw6NAhrF+/HgsWLEBOTg5uvPHGSJZKREREOhHRW6V/9rOf4dVXX/U/nzJlCgBg3bp1mD17NgCgpqYGdrsdAGAwGLBjxw689tpraG1tRWFhIebMmYM333wT6enpkSyViIiIdEJIKWW0ixhMDocDVqsVdrsdGRkZ0S6HiIiI+qA/5++Yu1WaiIiIKByGFyIiItIVhhciIiLSFYYXIiIi0hWGFyIiItIVhhciIiLSFYYXIiIi0hWGFyIiItIVhhciIiLSFYYXIiIi0hWGFyIiItIVhhciIiLSFYYXIiIi0hWGFyIiItIVhhciIiLSFYYXIiIi0hWGFyIiItIVhhciIiLSFYYXIiIi0hWGFyIiItIVhhciIiLSFYYXIiIi0hWGFyIiItIVhhciIiLSFWO0CyAiItKKu9OFw2sPwGXvRuboISgsHw4hRLTLon5ieCEiorgnpcTWxz7CZ79cB3eby789a1wurvnjjSiaURLF6qi/2G1ERERxb/Pyf+CTZX8PCC4A0LqvCSuvfhHHtx2NUmV0PhheiIgornU2tuOzFRuC7pOqhOpRsemnazWuigaC4YWIiOLavjd3AKoMuV96JQ5XHkDH8XYNq6KBYHghIqK41mFrgzD0MihXAl2NDC96EbHwcujQIXzve99DaWkpkpOTMWrUKDz00ENwuVxhXyelxPLly1FUVITk5GTMnj0bu3btilSZREQU59KKMqB6Q195AQAIgZSCdG0KogGLWHjZu3cvVFXF888/j127duHJJ5/Ec889hwcffDDs6x577DE88cQTePrpp7FlyxYUFBTgmmuuQVtbW6RKJSKiODbmlolQwlx5EQaB0q+PQUpuqoZV0UAIKWUvcXTw/PrXv8azzz6LgwcPBt0vpURRURHuvvtu3H///QAAp9OJ/Px8PProo/jBD37Q63s4HA5YrVbY7XZkZGQMav1ERKRPW361AZ882HNQrjAIGMxG3Fq1BDkTC6JQGZ3Wn/O3pmNe7HY7srOzQ+6vra2FzWZDRUWFf5vZbMaVV16JTZs2BX2N0+mEw+EIeBAREZ1t6v2zMOd3C2AZkhKwPffiIvzzxsUMLjqj2SR1X331FX73u9/h8ccfD9nGZrMBAPLz8wO25+fn4/Dhw0Ffs2LFCjz88MODVygREcUdIQQm/2g6JiyeiqMfHYbL3g3rBUOQO4mhRY/6feVl+fLlEEKEfWzdujXgNceOHcPcuXNx88034/vf/36v73HuVM1SypDTNy9btgx2u93/qK+v7++XRERECcKQZMTwq0fhgm+MZ3DRsX5febnrrrtw6623hm0zYsQI//8fO3YMc+bMQXl5OV544YWwryso8B1INpsNhYWF/u2NjY09rsacZjabYTab+1g9ERER6V2/w0tOTg5ycnL61Pbo0aOYM2cOysrK8PLLL0NRwl/oKS0tRUFBASorKzFlyhQAgMvlwoYNG/Doo4/2t1QiIiKKQxEbsHvs2DHMnj0bxcXF+M1vfoMTJ07AZrP5x7WcNm7cOKxatQqAr7vo7rvvxi9/+UusWrUKO3fuxB133IGUlBTcdtttkSqViIiIdCRiA3bXrl2LAwcO4MCBAxg2bFjAvrPvzq6pqYHdbvc/v++++9DV1YUf/vCHaGlpwbRp07B27Vqkp3PyICIiItJ4nhctcJ4XIiIi/YnZeV6IiIiIBorhhYiIiHSF4YWIiIh0heGFiIiIdEWz5QG0cnr8Mdc4IiIi0o/T5+2+3EcUd+Glra0NAFBcXBzlSoiIiKi/2traYLVaw7aJu1ulVVXFsWPHkJ6eHnI9pFjmcDhQXFyM+vr6hL3Vm58BP4NE//oBfgYAPwMgsT4DKSXa2tpQVFTU64z8cXflRVGUHpPi6VFGRkbcH6i94WfAzyDRv36AnwHAzwBInM+gtysup3HALhEREekKwwsRERHpCsNLjDGbzXjooYdgNpujXUrU8DPgZ5DoXz/AzwDgZwDwMwgl7gbsEhERUXzjlRciIiLSFYYXIiIi0hWGFyIiItIVhhciIiLSFYaXKHvkkUcwY8YMpKSkIDMzs0+vueOOOyCECHhMnz49soVG0Pl8BlJKLF++HEVFRUhOTsbs2bOxa9euyBYaQS0tLVi4cCGsViusVisWLlyI1tbWsK/R+3HwzDPPoLS0FBaLBWVlZfjoo4/Ctt+wYQPKyspgsVgwcuRIPPfccxpVGjn9+QzWr1/f4/sthMDevXs1rHhwbdy4EQsWLEBRURGEEHj77bd7fU28HQf9/Qzi8Tg4HwwvUeZyuXDzzTfjzjvv7Nfr5s6di4aGBv9j9erVEaow8s7nM3jsscfwxBNP4Omnn8aWLVtQUFCAa665xr+2ld7cdtttqK6uxpo1a7BmzRpUV1dj4cKFvb5Or8fBm2++ibvvvhs//elPsX37dsycORPz5s1DXV1d0Pa1tbWYP38+Zs6cie3bt+PBBx/ET37yE6xcuVLjygdPfz+D02pqagK+56NHj9ao4sHX0dGByZMn4+mnn+5T+3g8Dvr7GZwWT8fBeZEUE15++WVptVr71HbRokXy+uuvj2g90dDXz0BVVVlQUCB/9atf+bd1d3dLq9Uqn3vuuQhWGBm7d++WAOTmzZv926qqqiQAuXfv3pCv0/NxcNlll8klS5YEbBs3bpx84IEHgra/77775Lhx4wK2/eAHP5DTp0+PWI2R1t/PYN26dRKAbGlp0aA67QGQq1atCtsmHo+Ds/XlM4j346CveOVFp9avX4+8vDyMGTMGixcvRmNjY7RL0kxtbS1sNhsqKir828xmM6688kps2rQpipWdn6qqKlitVkybNs2/bfr06bBarb1+PXo8DlwuF7Zt2xbw/QOAioqKkF9vVVVVj/bXXnsttm7dCrfbHbFaI+V8PoPTpkyZgsLCQlx99dVYt25dJMuMOfF2HAxEIh8HALuNdGnevHl444038OGHH+Lxxx/Hli1bcNVVV8HpdEa7NE3YbDYAQH5+fsD2/Px8/z49sdlsyMvL67E9Ly8v7Nej1+OgqakJXq+3X98/m80WtL3H40FTU1PEao2U8/kMCgsL8cILL2DlypV46623MHbsWFx99dXYuHGjFiXHhHg7Ds4HjwOfuFtVOhYsX74cDz/8cNg2W7ZswdSpU8/r77/lllv8/z9hwgRMnToVJSUleO+99/CNb3zjvP7OwRbpzwAAhBABz6WUPbZFU18/A6Dn1wL0/vXo4TgIp7/fv2Dtg23Xk/58BmPHjsXYsWP9z8vLy1FfX4/f/OY3mDVrVkTrjCXxeBz0B48DH4aXCLjrrrtw6623hm0zYsSIQXu/wsJClJSUYP/+/YP2dw5UJD+DgoICAL7fwgoLC/3bGxsbe/xWFk19/Qy+/PJLHD9+vMe+EydO9OvricXjIJicnBwYDIYeVxjCff8KCgqCtjcajRgyZEjEao2U8/kMgpk+fTpef/31wS4vZsXbcTBYEu04ABheIiInJwc5OTmavV9zczPq6+sDTuTRFsnPoLS0FAUFBaisrMSUKVMA+MYQbNiwAY8++mhE3vN89PUzKC8vh91ux2effYbLLrsMAPDpp5/CbrdjxowZfX6/WDwOgklKSkJZWRkqKytx4403+rdXVlbi+uuvD/qa8vJyvPvuuwHb1q5di6lTp8JkMkW03kg4n88gmO3bt8f893swxdtxMFgS7TgAwLuNou3w4cNy+/bt8uGHH5ZpaWly+/btcvv27bKtrc3fZuzYsfKtt96SUkrZ1tYm//3f/11u2rRJ1tbWynXr1sny8nI5dOhQ6XA4ovVlDEh/PwMppfzVr34lrVarfOutt+SOHTvkt771LVlYWKjbz2Du3Lly0qRJsqqqSlZVVcmJEyfK6667LqBNPB0H//M//yNNJpN88cUX5e7du+Xdd98tU1NT5aFDh6SUUj7wwANy4cKF/vYHDx6UKSkp8p577pG7d++WL774ojSZTPL//u//ovUlDFh/P4Mnn3xSrlq1Su7bt0/u3LlTPvDAAxKAXLlyZbS+hAFra2vz/3sHIJ944gm5fft2efjwYSllYhwH/f0M4vE4OB8ML1G2aNEiCaDHY926df42AOTLL78spZSys7NTVlRUyNzcXGkymeTw4cPlokWLZF1dXXS+gEHQ389ASt/t0g899JAsKCiQZrNZzpo1S+7YsUP74gdJc3Oz/Pa3vy3T09Nlenq6/Pa3v93jVsh4Ow5+//vfy5KSEpmUlCQvueQSuWHDBv++RYsWySuvvDKg/fr16+WUKVNkUlKSHDFihHz22Wc1rnjw9eczePTRR+WoUaOkxWKRWVlZ8oorrpDvvfdeFKoePKdv+z33sWjRIillYhwH/f0M4vE4OB9CylOjnYiIiIh0gLdKExERka4wvBAREZGuMLwQERGRrjC8EBERka4wvBAREZGuMLwQERGRrjC8EBERka4wvBAREZGuMLwQERGRrjC8EBERka4wvBAREZGuMLwQERGRrvz/lDQt41ObuygAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.random.randn(50)\n",
    "y = np.random.randn(50)\n",
    "plt.scatter(x,y,c=x,cmap='RdPu')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1ee9ab57b50>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 这里展示一个偏态数据的例子，生产数据常常是右偏居多，此时发现由于数据有明显偏斜，导致使用colormap时无法看出显示较好的区分度\n",
    "from scipy.stats import skewnorm\n",
    "x = skewnorm.rvs(20, size=50)\n",
    "y = np.random.randn(50)\n",
    "plt.scatter(x,y,c=x,cmap='RdPu')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1ee9ad507f0>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 使用对数后再绘制散点图，得到了更好的色彩区分度\n",
    "x_norm = np.log(x)\n",
    "plt.scatter(x_norm,y,c=x_norm,cmap='RdPu')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在以下官网页面可以查询上述五种colormap的字符串表示和颜色图的对应关系    \n",
    "[https://matplotlib.org/stable/tutorials/colors/colormaps.html](https://matplotlib.org/stable/tutorials/colors/colormaps.html)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 作业"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "1）查阅matplotlib官网，列举出Sequential，Diverging，Cyclic，Qualitative，Miscellaneous分别有哪些内置的colormap，并以`代码绘图`的形式展现出来\n",
    "\n",
    "2）学习如何自定义colormap，并将其应用到任意一个数据集中，绘制一幅图像，注意colormap的类型要和数据集的特性相匹配，并做简单解释"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[0.         0.00392157 0.00784314 0.01176471 0.01568627 0.01960784\n",
      "  0.02352941 0.02745098 0.03137255 0.03529412 0.03921569 0.04313725\n",
      "  0.04705882 0.05098039 0.05490196 0.05882353 0.0627451  0.06666667\n",
      "  0.07058824 0.0745098  0.07843137 0.08235294 0.08627451 0.09019608\n",
      "  0.09411765 0.09803922 0.10196078 0.10588235 0.10980392 0.11372549\n",
      "  0.11764706 0.12156863 0.1254902  0.12941176 0.13333333 0.1372549\n",
      "  0.14117647 0.14509804 0.14901961 0.15294118 0.15686275 0.16078431\n",
      "  0.16470588 0.16862745 0.17254902 0.17647059 0.18039216 0.18431373\n",
      "  0.18823529 0.19215686 0.19607843 0.2        0.20392157 0.20784314\n",
      "  0.21176471 0.21568627 0.21960784 0.22352941 0.22745098 0.23137255\n",
      "  0.23529412 0.23921569 0.24313725 0.24705882 0.25098039 0.25490196\n",
      "  0.25882353 0.2627451  0.26666667 0.27058824 0.2745098  0.27843137\n",
      "  0.28235294 0.28627451 0.29019608 0.29411765 0.29803922 0.30196078\n",
      "  0.30588235 0.30980392 0.31372549 0.31764706 0.32156863 0.3254902\n",
      "  0.32941176 0.33333333 0.3372549  0.34117647 0.34509804 0.34901961\n",
      "  0.35294118 0.35686275 0.36078431 0.36470588 0.36862745 0.37254902\n",
      "  0.37647059 0.38039216 0.38431373 0.38823529 0.39215686 0.39607843\n",
      "  0.4        0.40392157 0.40784314 0.41176471 0.41568627 0.41960784\n",
      "  0.42352941 0.42745098 0.43137255 0.43529412 0.43921569 0.44313725\n",
      "  0.44705882 0.45098039 0.45490196 0.45882353 0.4627451  0.46666667\n",
      "  0.47058824 0.4745098  0.47843137 0.48235294 0.48627451 0.49019608\n",
      "  0.49411765 0.49803922 0.50196078 0.50588235 0.50980392 0.51372549\n",
      "  0.51764706 0.52156863 0.5254902  0.52941176 0.53333333 0.5372549\n",
      "  0.54117647 0.54509804 0.54901961 0.55294118 0.55686275 0.56078431\n",
      "  0.56470588 0.56862745 0.57254902 0.57647059 0.58039216 0.58431373\n",
      "  0.58823529 0.59215686 0.59607843 0.6        0.60392157 0.60784314\n",
      "  0.61176471 0.61568627 0.61960784 0.62352941 0.62745098 0.63137255\n",
      "  0.63529412 0.63921569 0.64313725 0.64705882 0.65098039 0.65490196\n",
      "  0.65882353 0.6627451  0.66666667 0.67058824 0.6745098  0.67843137\n",
      "  0.68235294 0.68627451 0.69019608 0.69411765 0.69803922 0.70196078\n",
      "  0.70588235 0.70980392 0.71372549 0.71764706 0.72156863 0.7254902\n",
      "  0.72941176 0.73333333 0.7372549  0.74117647 0.74509804 0.74901961\n",
      "  0.75294118 0.75686275 0.76078431 0.76470588 0.76862745 0.77254902\n",
      "  0.77647059 0.78039216 0.78431373 0.78823529 0.79215686 0.79607843\n",
      "  0.8        0.80392157 0.80784314 0.81176471 0.81568627 0.81960784\n",
      "  0.82352941 0.82745098 0.83137255 0.83529412 0.83921569 0.84313725\n",
      "  0.84705882 0.85098039 0.85490196 0.85882353 0.8627451  0.86666667\n",
      "  0.87058824 0.8745098  0.87843137 0.88235294 0.88627451 0.89019608\n",
      "  0.89411765 0.89803922 0.90196078 0.90588235 0.90980392 0.91372549\n",
      "  0.91764706 0.92156863 0.9254902  0.92941176 0.93333333 0.9372549\n",
      "  0.94117647 0.94509804 0.94901961 0.95294118 0.95686275 0.96078431\n",
      "  0.96470588 0.96862745 0.97254902 0.97647059 0.98039216 0.98431373\n",
      "  0.98823529 0.99215686 0.99607843 1.        ]\n",
      " [0.         0.00392157 0.00784314 0.01176471 0.01568627 0.01960784\n",
      "  0.02352941 0.02745098 0.03137255 0.03529412 0.03921569 0.04313725\n",
      "  0.04705882 0.05098039 0.05490196 0.05882353 0.0627451  0.06666667\n",
      "  0.07058824 0.0745098  0.07843137 0.08235294 0.08627451 0.09019608\n",
      "  0.09411765 0.09803922 0.10196078 0.10588235 0.10980392 0.11372549\n",
      "  0.11764706 0.12156863 0.1254902  0.12941176 0.13333333 0.1372549\n",
      "  0.14117647 0.14509804 0.14901961 0.15294118 0.15686275 0.16078431\n",
      "  0.16470588 0.16862745 0.17254902 0.17647059 0.18039216 0.18431373\n",
      "  0.18823529 0.19215686 0.19607843 0.2        0.20392157 0.20784314\n",
      "  0.21176471 0.21568627 0.21960784 0.22352941 0.22745098 0.23137255\n",
      "  0.23529412 0.23921569 0.24313725 0.24705882 0.25098039 0.25490196\n",
      "  0.25882353 0.2627451  0.26666667 0.27058824 0.2745098  0.27843137\n",
      "  0.28235294 0.28627451 0.29019608 0.29411765 0.29803922 0.30196078\n",
      "  0.30588235 0.30980392 0.31372549 0.31764706 0.32156863 0.3254902\n",
      "  0.32941176 0.33333333 0.3372549  0.34117647 0.34509804 0.34901961\n",
      "  0.35294118 0.35686275 0.36078431 0.36470588 0.36862745 0.37254902\n",
      "  0.37647059 0.38039216 0.38431373 0.38823529 0.39215686 0.39607843\n",
      "  0.4        0.40392157 0.40784314 0.41176471 0.41568627 0.41960784\n",
      "  0.42352941 0.42745098 0.43137255 0.43529412 0.43921569 0.44313725\n",
      "  0.44705882 0.45098039 0.45490196 0.45882353 0.4627451  0.46666667\n",
      "  0.47058824 0.4745098  0.47843137 0.48235294 0.48627451 0.49019608\n",
      "  0.49411765 0.49803922 0.50196078 0.50588235 0.50980392 0.51372549\n",
      "  0.51764706 0.52156863 0.5254902  0.52941176 0.53333333 0.5372549\n",
      "  0.54117647 0.54509804 0.54901961 0.55294118 0.55686275 0.56078431\n",
      "  0.56470588 0.56862745 0.57254902 0.57647059 0.58039216 0.58431373\n",
      "  0.58823529 0.59215686 0.59607843 0.6        0.60392157 0.60784314\n",
      "  0.61176471 0.61568627 0.61960784 0.62352941 0.62745098 0.63137255\n",
      "  0.63529412 0.63921569 0.64313725 0.64705882 0.65098039 0.65490196\n",
      "  0.65882353 0.6627451  0.66666667 0.67058824 0.6745098  0.67843137\n",
      "  0.68235294 0.68627451 0.69019608 0.69411765 0.69803922 0.70196078\n",
      "  0.70588235 0.70980392 0.71372549 0.71764706 0.72156863 0.7254902\n",
      "  0.72941176 0.73333333 0.7372549  0.74117647 0.74509804 0.74901961\n",
      "  0.75294118 0.75686275 0.76078431 0.76470588 0.76862745 0.77254902\n",
      "  0.77647059 0.78039216 0.78431373 0.78823529 0.79215686 0.79607843\n",
      "  0.8        0.80392157 0.80784314 0.81176471 0.81568627 0.81960784\n",
      "  0.82352941 0.82745098 0.83137255 0.83529412 0.83921569 0.84313725\n",
      "  0.84705882 0.85098039 0.85490196 0.85882353 0.8627451  0.86666667\n",
      "  0.87058824 0.8745098  0.87843137 0.88235294 0.88627451 0.89019608\n",
      "  0.89411765 0.89803922 0.90196078 0.90588235 0.90980392 0.91372549\n",
      "  0.91764706 0.92156863 0.9254902  0.92941176 0.93333333 0.9372549\n",
      "  0.94117647 0.94509804 0.94901961 0.95294118 0.95686275 0.96078431\n",
      "  0.96470588 0.96862745 0.97254902 0.97647059 0.98039216 0.98431373\n",
      "  0.98823529 0.99215686 0.99607843 1.        ]]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x168.8 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x483.4 with 19 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x435 with 17 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x338.2 with 13 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x120.4 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x338.2 with 13 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x459.2 with 18 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# task 1\n",
    "import numpy as np\n",
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import cm\n",
    "\n",
    "cmaps = {}\n",
    "\n",
    "gradient = np.linspace(0, 1, 256)\n",
    "gradient = np.vstack((gradient, gradient))\n",
    "\n",
    "def plot_color_gradients(category, cmap_list):\n",
    "    # Create figure and adjust figure height to number of colormaps\n",
    "    nrows = len(cmap_list)\n",
    "    figh = 0.35 + 0.15 + (nrows + (nrows - 1) * 0.1) * 0.22\n",
    "    fig, axs = plt.subplots(nrows=nrows + 1, figsize=(6.4, figh))\n",
    "    fig.subplots_adjust(top=1 - 0.35 / figh, bottom=0.15 / figh,\n",
    "                        left=0.2, right=0.99)\n",
    "    axs[0].set_title(f'{category} colormaps', fontsize=14)\n",
    "\n",
    "    # 显示每个colormap\n",
    "    for ax, name in zip(axs, cmap_list):\n",
    "        ax.imshow(gradient, aspect='auto', cmap=plt.get_cmap(name)) \n",
    "        ax.text(-0.01, 0.5, name, va='center', ha='right', fontsize=10,\n",
    "                transform=ax.transAxes)\n",
    "\n",
    "    # Turn off *all* ticks & spines, not just the ones with colormaps.\n",
    "    for ax in axs:\n",
    "        ax.set_axis_off()\n",
    "\n",
    "    # Save colormap list for later.\n",
    "    cmaps[category] = cmap_list\n",
    "\n",
    "# Sequential\n",
    "plot_color_gradients('Perceptually Uniform Sequential',\n",
    "                     ['viridis', 'plasma', 'inferno', 'magma', 'cividis'])\n",
    "\n",
    "plot_color_gradients('Sequential',\n",
    "                     ['Greys', 'Purples', 'Blues', 'Greens', 'Oranges', 'Reds',\n",
    "                      'YlOrBr', 'YlOrRd', 'OrRd', 'PuRd', 'RdPu', 'BuPu',\n",
    "                      'GnBu', 'PuBu', 'YlGnBu', 'PuBuGn', 'BuGn', 'YlGn'])\n",
    "\n",
    "plot_color_gradients('Sequential (2)',\n",
    "                     ['binary', 'gist_yarg', 'gist_gray', 'gray', 'bone',\n",
    "                      'pink', 'spring', 'summer', 'autumn', 'winter', 'cool',\n",
    "                      'Wistia', 'hot', 'afmhot', 'gist_heat', 'copper'])\n",
    "\n",
    "# Diverging\n",
    "plot_color_gradients('Diverging',\n",
    "                     ['PiYG', 'PRGn', 'BrBG', 'PuOr', 'RdGy', 'RdBu', 'RdYlBu',\n",
    "                      'RdYlGn', 'Spectral', 'coolwarm', 'bwr', 'seismic'])\n",
    "\n",
    "# Cyclic\n",
    "plot_color_gradients('Cyclic', ['twilight', 'twilight_shifted', 'hsv'])\n",
    "\n",
    "# Qualitative\n",
    "plot_color_gradients('Qualitative',\n",
    "                     ['Pastel1', 'Pastel2', 'Paired', 'Accent', 'Dark2',\n",
    "                      'Set1', 'Set2', 'Set3', 'tab10', 'tab20', 'tab20b',\n",
    "                      'tab20c'])\n",
    "\n",
    "# Miscellaneous\n",
    "plot_color_gradients('Miscellaneous',\n",
    "                     ['flag', 'prism', 'ocean', 'gist_earth', 'terrain',\n",
    "                      'gist_stern', 'gnuplot', 'gnuplot2', 'CMRmap',\n",
    "                      'cubehelix', 'brg', 'gist_rainbow', 'rainbow', 'jet',\n",
    "                      'turbo', 'nipy_spectral', 'gist_ncar'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.        , 0.00392157, 0.00784314, 0.01176471, 0.01568627,\n",
       "        0.01960784, 0.02352941, 0.02745098, 0.03137255, 0.03529412,\n",
       "        0.03921569, 0.04313725, 0.04705882, 0.05098039, 0.05490196,\n",
       "        0.05882353, 0.0627451 , 0.06666667, 0.07058824, 0.0745098 ,\n",
       "        0.07843137, 0.08235294, 0.08627451, 0.09019608, 0.09411765,\n",
       "        0.09803922, 0.10196078, 0.10588235, 0.10980392, 0.11372549,\n",
       "        0.11764706, 0.12156863, 0.1254902 , 0.12941176, 0.13333333,\n",
       "        0.1372549 , 0.14117647, 0.14509804, 0.14901961, 0.15294118,\n",
       "        0.15686275, 0.16078431, 0.16470588, 0.16862745, 0.17254902,\n",
       "        0.17647059, 0.18039216, 0.18431373, 0.18823529, 0.19215686,\n",
       "        0.19607843, 0.2       , 0.20392157, 0.20784314, 0.21176471,\n",
       "        0.21568627, 0.21960784, 0.22352941, 0.22745098, 0.23137255,\n",
       "        0.23529412, 0.23921569, 0.24313725, 0.24705882, 0.25098039,\n",
       "        0.25490196, 0.25882353, 0.2627451 , 0.26666667, 0.27058824,\n",
       "        0.2745098 , 0.27843137, 0.28235294, 0.28627451, 0.29019608,\n",
       "        0.29411765, 0.29803922, 0.30196078, 0.30588235, 0.30980392,\n",
       "        0.31372549, 0.31764706, 0.32156863, 0.3254902 , 0.32941176,\n",
       "        0.33333333, 0.3372549 , 0.34117647, 0.34509804, 0.34901961,\n",
       "        0.35294118, 0.35686275, 0.36078431, 0.36470588, 0.36862745,\n",
       "        0.37254902, 0.37647059, 0.38039216, 0.38431373, 0.38823529,\n",
       "        0.39215686, 0.39607843, 0.4       , 0.40392157, 0.40784314,\n",
       "        0.41176471, 0.41568627, 0.41960784, 0.42352941, 0.42745098,\n",
       "        0.43137255, 0.43529412, 0.43921569, 0.44313725, 0.44705882,\n",
       "        0.45098039, 0.45490196, 0.45882353, 0.4627451 , 0.46666667,\n",
       "        0.47058824, 0.4745098 , 0.47843137, 0.48235294, 0.48627451,\n",
       "        0.49019608, 0.49411765, 0.49803922, 0.50196078, 0.50588235,\n",
       "        0.50980392, 0.51372549, 0.51764706, 0.52156863, 0.5254902 ,\n",
       "        0.52941176, 0.53333333, 0.5372549 , 0.54117647, 0.54509804,\n",
       "        0.54901961, 0.55294118, 0.55686275, 0.56078431, 0.56470588,\n",
       "        0.56862745, 0.57254902, 0.57647059, 0.58039216, 0.58431373,\n",
       "        0.58823529, 0.59215686, 0.59607843, 0.6       , 0.60392157,\n",
       "        0.60784314, 0.61176471, 0.61568627, 0.61960784, 0.62352941,\n",
       "        0.62745098, 0.63137255, 0.63529412, 0.63921569, 0.64313725,\n",
       "        0.64705882, 0.65098039, 0.65490196, 0.65882353, 0.6627451 ,\n",
       "        0.66666667, 0.67058824, 0.6745098 , 0.67843137, 0.68235294,\n",
       "        0.68627451, 0.69019608, 0.69411765, 0.69803922, 0.70196078,\n",
       "        0.70588235, 0.70980392, 0.71372549, 0.71764706, 0.72156863,\n",
       "        0.7254902 , 0.72941176, 0.73333333, 0.7372549 , 0.74117647,\n",
       "        0.74509804, 0.74901961, 0.75294118, 0.75686275, 0.76078431,\n",
       "        0.76470588, 0.76862745, 0.77254902, 0.77647059, 0.78039216,\n",
       "        0.78431373, 0.78823529, 0.79215686, 0.79607843, 0.8       ,\n",
       "        0.80392157, 0.80784314, 0.81176471, 0.81568627, 0.81960784,\n",
       "        0.82352941, 0.82745098, 0.83137255, 0.83529412, 0.83921569,\n",
       "        0.84313725, 0.84705882, 0.85098039, 0.85490196, 0.85882353,\n",
       "        0.8627451 , 0.86666667, 0.87058824, 0.8745098 , 0.87843137,\n",
       "        0.88235294, 0.88627451, 0.89019608, 0.89411765, 0.89803922,\n",
       "        0.90196078, 0.90588235, 0.90980392, 0.91372549, 0.91764706,\n",
       "        0.92156863, 0.9254902 , 0.92941176, 0.93333333, 0.9372549 ,\n",
       "        0.94117647, 0.94509804, 0.94901961, 0.95294118, 0.95686275,\n",
       "        0.96078431, 0.96470588, 0.96862745, 0.97254902, 0.97647059,\n",
       "        0.98039216, 0.98431373, 0.98823529, 0.99215686, 0.99607843,\n",
       "        1.        ],\n",
       "       [0.        , 0.00392157, 0.00784314, 0.01176471, 0.01568627,\n",
       "        0.01960784, 0.02352941, 0.02745098, 0.03137255, 0.03529412,\n",
       "        0.03921569, 0.04313725, 0.04705882, 0.05098039, 0.05490196,\n",
       "        0.05882353, 0.0627451 , 0.06666667, 0.07058824, 0.0745098 ,\n",
       "        0.07843137, 0.08235294, 0.08627451, 0.09019608, 0.09411765,\n",
       "        0.09803922, 0.10196078, 0.10588235, 0.10980392, 0.11372549,\n",
       "        0.11764706, 0.12156863, 0.1254902 , 0.12941176, 0.13333333,\n",
       "        0.1372549 , 0.14117647, 0.14509804, 0.14901961, 0.15294118,\n",
       "        0.15686275, 0.16078431, 0.16470588, 0.16862745, 0.17254902,\n",
       "        0.17647059, 0.18039216, 0.18431373, 0.18823529, 0.19215686,\n",
       "        0.19607843, 0.2       , 0.20392157, 0.20784314, 0.21176471,\n",
       "        0.21568627, 0.21960784, 0.22352941, 0.22745098, 0.23137255,\n",
       "        0.23529412, 0.23921569, 0.24313725, 0.24705882, 0.25098039,\n",
       "        0.25490196, 0.25882353, 0.2627451 , 0.26666667, 0.27058824,\n",
       "        0.2745098 , 0.27843137, 0.28235294, 0.28627451, 0.29019608,\n",
       "        0.29411765, 0.29803922, 0.30196078, 0.30588235, 0.30980392,\n",
       "        0.31372549, 0.31764706, 0.32156863, 0.3254902 , 0.32941176,\n",
       "        0.33333333, 0.3372549 , 0.34117647, 0.34509804, 0.34901961,\n",
       "        0.35294118, 0.35686275, 0.36078431, 0.36470588, 0.36862745,\n",
       "        0.37254902, 0.37647059, 0.38039216, 0.38431373, 0.38823529,\n",
       "        0.39215686, 0.39607843, 0.4       , 0.40392157, 0.40784314,\n",
       "        0.41176471, 0.41568627, 0.41960784, 0.42352941, 0.42745098,\n",
       "        0.43137255, 0.43529412, 0.43921569, 0.44313725, 0.44705882,\n",
       "        0.45098039, 0.45490196, 0.45882353, 0.4627451 , 0.46666667,\n",
       "        0.47058824, 0.4745098 , 0.47843137, 0.48235294, 0.48627451,\n",
       "        0.49019608, 0.49411765, 0.49803922, 0.50196078, 0.50588235,\n",
       "        0.50980392, 0.51372549, 0.51764706, 0.52156863, 0.5254902 ,\n",
       "        0.52941176, 0.53333333, 0.5372549 , 0.54117647, 0.54509804,\n",
       "        0.54901961, 0.55294118, 0.55686275, 0.56078431, 0.56470588,\n",
       "        0.56862745, 0.57254902, 0.57647059, 0.58039216, 0.58431373,\n",
       "        0.58823529, 0.59215686, 0.59607843, 0.6       , 0.60392157,\n",
       "        0.60784314, 0.61176471, 0.61568627, 0.61960784, 0.62352941,\n",
       "        0.62745098, 0.63137255, 0.63529412, 0.63921569, 0.64313725,\n",
       "        0.64705882, 0.65098039, 0.65490196, 0.65882353, 0.6627451 ,\n",
       "        0.66666667, 0.67058824, 0.6745098 , 0.67843137, 0.68235294,\n",
       "        0.68627451, 0.69019608, 0.69411765, 0.69803922, 0.70196078,\n",
       "        0.70588235, 0.70980392, 0.71372549, 0.71764706, 0.72156863,\n",
       "        0.7254902 , 0.72941176, 0.73333333, 0.7372549 , 0.74117647,\n",
       "        0.74509804, 0.74901961, 0.75294118, 0.75686275, 0.76078431,\n",
       "        0.76470588, 0.76862745, 0.77254902, 0.77647059, 0.78039216,\n",
       "        0.78431373, 0.78823529, 0.79215686, 0.79607843, 0.8       ,\n",
       "        0.80392157, 0.80784314, 0.81176471, 0.81568627, 0.81960784,\n",
       "        0.82352941, 0.82745098, 0.83137255, 0.83529412, 0.83921569,\n",
       "        0.84313725, 0.84705882, 0.85098039, 0.85490196, 0.85882353,\n",
       "        0.8627451 , 0.86666667, 0.87058824, 0.8745098 , 0.87843137,\n",
       "        0.88235294, 0.88627451, 0.89019608, 0.89411765, 0.89803922,\n",
       "        0.90196078, 0.90588235, 0.90980392, 0.91372549, 0.91764706,\n",
       "        0.92156863, 0.9254902 , 0.92941176, 0.93333333, 0.9372549 ,\n",
       "        0.94117647, 0.94509804, 0.94901961, 0.95294118, 0.95686275,\n",
       "        0.96078431, 0.96470588, 0.96862745, 0.97254902, 0.97647059,\n",
       "        0.98039216, 0.98431373, 0.98823529, 0.99215686, 0.99607843,\n",
       "        1.        ]])"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gradient"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1ee9d7ccfd0>"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# get_cmap(名称， 颜色数)\n",
    "plt.imshow(gradient, cmap=plt.get_cmap('plasma', 10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1ee9d92ab50>"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(gradient, cmap=plt.get_cmap('coolwarm'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1ee9ddf3d60>"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(gradient, cmap=plt.get_cmap('Set1'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1ee9db8ce50>"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(gradient, cmap=plt.get_cmap('flag'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1ee9bd47610>"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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2to7AvfnpulYGgNq9e3dsjGQx/J588snYsWb8+PFq0aJFsaJDKclgJH238JAsht+Vv8thMpmUy+VSDz30kGpsbIxt1zIDnVJKXfd7NUIIIYQQQyDXahFCCCGEZqTwEEIIIYRmpPAQQgghhGak8BBCCCGEZqTwEEIIIYRmpPAQQgghhGak8BBCCCGEZqTwEEIIIYRmpPAQQgghhGak8BBCCCGEZqTwEEIIIYRm/g8q66AWqcpklQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# task 2\n",
    "from matplotlib import cm\n",
    "from matplotlib.colors import LinearSegmentedColormap\n",
    "from sklearn import datasets\n",
    "\n",
    "# 定义colorbar的颜色帧\n",
    "color_list = ['#0000FF', '#3333FF', '#00FF33', '#FFFF33', '#FF9900', '#FF0000', '#FF00FF', '#6600CC']\n",
    "\n",
    "# 线性补帧，并定义自定义colormap的名字，此处为rain\n",
    "my_cmap = LinearSegmentedColormap.from_list('rain', color_list)\n",
    "\n",
    "# 注册自定义的cmap，此后可以像使用内置的colormap一样使用自定义的rain\n",
    "cm.register_cmap(cmap=my_cmap)\n",
    "\n",
    "boston = datasets.load_boston()\n",
    "x = boston.data[:, 6]\n",
    "y = boston.target\n",
    "data = np.vstack((x, y))\n",
    "\n",
    "plt.imshow(data, cmap=\"rain\")  # data是可视化的矩阵，使用时直接使用rain这个名字"
   ]
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